Waseem Khan - Academia.edu (original) (raw)
Papers by Waseem Khan
This paper deals with a Euler type integral operator involving k-Mittag-Leffler function defined ... more This paper deals with a Euler type integral operator involving k-Mittag-Leffler function defined by Gupta and Parihar [8]. Furthermore, some special cases are also taken into consideration.
Nanocomposite proton-exchange membranes are fabricated by loading graphene nanoflakes into perflu... more Nanocomposite proton-exchange membranes are fabricated by loading graphene nanoflakes into perfluoro sulfonic acid polymer (Nafion) solutions at controlled amounts (1-4 wt%) followed by electrical and thermal characterization of the resulting membranes. Electronic and ionic conductivity values of the nanocomposites, as well as their dielectric and thermal properties improve at increased graphene loadings. Owing to graphene’s exceptionally high surface area to volume ratio and excellent physical properties, these nanocomposite are promising candidates for proton-exchange membrane fuel cell applications.
In this paper, we consider unified Gould-Hopper based Apostol-type polynomials and investigate so... more In this paper, we consider unified Gould-Hopper based Apostol-type polynomials and investigate some of their formulas including several implicit summation formulae and some symmetric identities by the series manipulation method. Moreover, we acquire several new results for unified Gould-Hopper based Apostol-type polynomials using appropriate operational rules.
Abstract. In this paper, we construct the degenerate poly-Fubini polynomials, called the type 2 d... more Abstract. In this paper, we construct the degenerate poly-Fubini polynomials, called the type 2 degenerate poly-Fubini polynomials, by using the modified degenerate polyexponential function and derive several properties on the degenerate poly-Fubini polynomials and numbers. In the last section, we introduce type 2 degenerate unipolyFubini polynomials attached to an arithmetic function, by using the modified degenerate polyexponential function and investigate some identities for those polynomials. Furthermore, we give some new explicit expressions and identities of degenerate unipoly polynomials related to special numbers and polynomials.
Abstract. The object of the present paper is to establish an integral formula involving Wright ge... more Abstract. The object of the present paper is to establish an integral formula involving Wright generalized Bessel function (or generalized Bessel-Maitland function) J ν,q (z) defined by Singh et al. [21], which is expressed in the terms of generalized (Wright) hypergeometric functions. Some interesting special cases involving Bessel functions, generalized Bessel functions, generalized Mittag-Leffler functions are deduced.
Journal of Thermal Science and Engineering Applications
The authors regret in the published paper referenced above and agree with the discussion by Panto... more The authors regret in the published paper referenced above and agree with the discussion by Pantokratoras (2019, “Discussion: “Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles” (Farooq, U., Lu, D. C., Ahmed, S., and Ramzan, M., 2019, ASME J. Therm. Sci. Eng. Appl., 11(2), p. 021013),” ASME J. Therm. Sci. Eng. Appl., 11(5), p. 055503). In this Closure, the non-similar mathematical model is developed to describe the mixed convective nanofluid flow over vertical sheet which is stretching at an exponential rate. In the published article referenced above, similarity transformations are utilized to convert the governing nonlinear partial differential equations (PDEs) into ordinary differential equations (ODEs). The important physical numbers such as magnetic field (M2), Brownian motion parameter (Nb), thermophoresis (Nt), Eckert number (Ec), ratio of mass transfer Grashof to heat transfer Grashof (N), buoyancy parameter (λ), and Reynolds number (Re) a...
Symmetry
In this paper, we first define type-two degenerate poly-Changhee polynomials of the second kind b... more In this paper, we first define type-two degenerate poly-Changhee polynomials of the second kind by using modified degenerate polyexponential functions. We derive new identities and relations between type-two degenerate poly-Changhee polynomials of the second kind. Finally, we derive type-two degenerate unipoly-Changhee polynomials of the second kind and discuss some of their identities.
Global Social Sciences Review
Every political ideology has a distinct conception of various aspects of human life such as reaso... more Every political ideology has a distinct conception of various aspects of human life such as reason, purpose of life, free-will, liberty, freedom, autonomy, democracy, sovereignty and moral rights and obligations of the citizen. But the fundamental purpose of a political ideology is to define the purpose of the state and its role in providing a political system to its citizen in which individuals can live their social and political life according to the moral values and ethical principles of that political ideology. This paper only elucidates the purpose of the state according to ancient, Liberal, Marxist and Feminist standpoints. To understand the viewpoint of each political ideology, it is necessary to understand the political thought of its founders. It is pertinent to mention that all political thinkers have one ultimate aim in describing the purpose of the state which is the "ultimate good" of the citizen though they may differ with each other. The viewpoint of one ide...
The information industry has witnessed a steady evolution in database power and flexibility. From... more The information industry has witnessed a steady evolution in database power and flexibility. From flat file and hierarchical to relational and distributed relational technologies, data structures have evolved to match more closely the way people visualize and work with data. The latest step in the evolution of databases is the multidimensional database. The Multidimensional data model has emerged during the last decade for facilitating the analysis of huge datasets to help in decisionmaking. The multidimensional database has matured into the database engine of choice for data analysis applications. This application category is widely recognized today as OLAP (On Line Analytical Processing). The multidimensional data model in this paper presents a prototype to facilitate the process of accessing, retrieving, understanding and analyzing the huge and detailed multi-dimensional biological databases in an easy and user friendly way for the scientific community at large. The key information on the dynamics of living biological systems can be analyzed using data hypercube. The technology of dimension modeling has been made use of for analyzing Wisconsin Diagnostic Breast Cancer (WDBC) datasets using multidimensional data hypercube to make it a facility for prediction of type of cancer based on values of 10 different attributes. Microsoft SQL Server Business Intelligence Development Studio-OLAP technique has been utilized for this. A comparison has also been made for Relational vs. Multidimensional database approach and the significant advantages of time saving and memory saving has also been explained. It has been demonstrated that prediction of type of cancer based on any number of symptoms upto 10, is hundred times faster using this multidimensional hypercube storage in comparison to searching the entire space of datasets in a sequential manner as in case of relational table and associated joins. KEYWORDS Cancer, predictive tool, multidimensional, OLAP, data hypercube based on various join conditions and this becomes a sequential access procedure, prone to errors and time-consuming as well. However, the multi-dimensional model transforms the visualization of a schema into a powerful analytical and fast access environment. A multidimensional data schema is represented by using the concept of a cube. A cube is a logical organization of multidimensional data as shown in Fig.1. A cube is derived from a fact table. Edges of cube are referred to as Dimensions that categorize a cube's data. Each dimension is a grouping of common or related columns from one or more tables into a single entity[4,5]. Dimensions group multiple columns from one or more tables into one single entity organized around one or more hierarchies and ordered by levels. These objects can then be used to provide a very simple query interface. A cube contains measures that share the same dimensionality. Measures are just like arrays and are automatically associated to the physical fact table column and related dimension tables. This transformation from fact table column to measure, insulates the user from the complexity of the underlying schema and from the need to understand how the various parts of the schema are joined together. Within an OLAP environment, it is extremely easy to create new measures. All these structures (cubes, measures and dimensions) interact with each other to provide an extremely powerful reporting environment. Each object adds new levels of interactivity when it is fully exploited. OLAP environments provide powerful analytical data sources that users can interrogate to follow trends, patterns and anomalies within a cube across any dimension. OLAP provides analytical calculation options such as statistical, forecasting, planning and regression features that help users intelligently manage their data. These concepts allow users to create powerful and focused queries quickly and easily that return consistent and valid analysis as the user extends the query during additional drill-down and pivot operations. SEARCH SPACE AND PREDICTION OF DIAGNOSIS The access of the fact is very fast as the internal storage of the cube is such that if the total number of dimensions is n, the various unique combinations of different dimensions is 2 n. Each combination of dimensions is referred to as a cuboid. A cuboid can be 1-D, 2-D, 3-D,… n-D if number of dimensions is n. The time taken to access a fact across any particular combination of dimensions is 0(log 2 2 n). The details of the number of cuboids according to number of dimensions, in the present study of biological datasets, are given here:
Multibody System Dynamics, 2005
Journal of Thoracic Oncology, 2010
Introduction: AT-101 is an oral, pan Bcl-2 family protein inhibitor that has demonstrated activit... more Introduction: AT-101 is an oral, pan Bcl-2 family protein inhibitor that has demonstrated activity in small cell lung cancer (SCLC) models. A phase I/II study was conducted combining AT-101 with topotecan in relapsed and refractory SCLC. Methods: An open-labeled multicenter phase I/II study was conducted of oral AT-101 with intravenous topotecan in patients with SCLC who had progressed on prior platinum-containing chemotherapy. The phase II portion was a two-stage design, and two cohorts of patients, sensitive relapsed and refractory, were analyzed. Primary endpoint in the twostage phase II portion was response rate; secondary endpoints were duration of response and time to progression. Results: Thirty-six patients were enrolled. The most common toxicities were hematologic, as would be expected with topotecan and AT-101. The recommended phase II dose was 40 mg AT-101 days 1 to 5 with topotecan 1.25 mg/m 2 days 1 to 5 on a 21-day cycle. In the sensitiverelapsed cohort (n ϭ 18), there were 0 complete response (CR), three partial response (PR), 10 stable disease (SD), and four progressive disease (PD). In the refractory cohort (n ϭ 12), there were 0 CR/PR, five SD, and five PD. The study did not meet its prespecified endpoints to continue enrollment in the second stage of the phase II study. Median time to progression in the sensitive-relapsed cohort was 17.4 weeks and 11.7 weeks in the refractory cohort. Conclusions: AT-101 can be safely combined with topotecan at a reduced dose of 1.25 mg/m 2. The response rates observed did not meet the criteria for additional enrollment; however, many patients had a best response of SD and the median time to progression in both cohorts was favorable. Additional trials of AT-101 in SCLC are ongoing.
International Journal of Engineering, Science and Technology, 2012
In the paper it will be shown that generating functions of hyper Bessel functions due to Humbert ... more In the paper it will be shown that generating functions of hyper Bessel functions due to Humbert and Delerue can be extended to a new class of generating relations for generalized Mittag-Leffler's functions. A number of new and known double and multiple generating functions involving the product of classical polynomials and functions are considered as special cases. .
Applied Mathematics and Computation, 2012
In this paper, we establish some iterative methods for solving real and complex zeroes of nonline... more In this paper, we establish some iterative methods for solving real and complex zeroes of nonlinear equations by using the modified homotopy perturbation method which is mainly due to Golbabai and Javidi [5]. The proposed methods are then applied to solve test problems in order to assess there validity and accuracy.
Applied Mathematics and Computation, 2006
Applied Radiation and Isotopes, Jan 31, 2010
A whole body counting system is in operation at the Nuclear and Technological Institute, in Portu... more A whole body counting system is in operation at the Nuclear and Technological Institute, in Portugal. Computational methods were used to determine the detection efficiency; a well-known source of bias in modelling the behaviour of a HPGe detector is the insufficient knowledge regarding the thickness of the lithium dead layer. In order to accurately simulate the detection system and to achieve agreement between the Monte Carlo results and the performed measurements, the value for the dead layer thickness was optimized.
asee.org
Electrospinning is a novel process of producing sub-micron and nano-sized fibers that consist of ... more Electrospinning is a novel process of producing sub-micron and nano-sized fibers that consist of higher physical properties (e.g., surface area, porosity and flexibility). In a typical electrospinning process, a jet is ejected from a charged polymer solution when the applied electric field strength overcomes the surface tension of the solution. The ejected jet then travels rapidly to the collector target located at some distance from the charged polymer solution under the influence of the electric field and becomes a solid polymer filament as the jet dries. This communication presents the fabrication and characterizations of nanofibers and devices for undergraduate and graduate students to enhance their hands-on laboratory experiences.
This paper deals with a Euler type integral operator involving k-Mittag-Leffler function defined ... more This paper deals with a Euler type integral operator involving k-Mittag-Leffler function defined by Gupta and Parihar [8]. Furthermore, some special cases are also taken into consideration.
Nanocomposite proton-exchange membranes are fabricated by loading graphene nanoflakes into perflu... more Nanocomposite proton-exchange membranes are fabricated by loading graphene nanoflakes into perfluoro sulfonic acid polymer (Nafion) solutions at controlled amounts (1-4 wt%) followed by electrical and thermal characterization of the resulting membranes. Electronic and ionic conductivity values of the nanocomposites, as well as their dielectric and thermal properties improve at increased graphene loadings. Owing to graphene’s exceptionally high surface area to volume ratio and excellent physical properties, these nanocomposite are promising candidates for proton-exchange membrane fuel cell applications.
In this paper, we consider unified Gould-Hopper based Apostol-type polynomials and investigate so... more In this paper, we consider unified Gould-Hopper based Apostol-type polynomials and investigate some of their formulas including several implicit summation formulae and some symmetric identities by the series manipulation method. Moreover, we acquire several new results for unified Gould-Hopper based Apostol-type polynomials using appropriate operational rules.
Abstract. In this paper, we construct the degenerate poly-Fubini polynomials, called the type 2 d... more Abstract. In this paper, we construct the degenerate poly-Fubini polynomials, called the type 2 degenerate poly-Fubini polynomials, by using the modified degenerate polyexponential function and derive several properties on the degenerate poly-Fubini polynomials and numbers. In the last section, we introduce type 2 degenerate unipolyFubini polynomials attached to an arithmetic function, by using the modified degenerate polyexponential function and investigate some identities for those polynomials. Furthermore, we give some new explicit expressions and identities of degenerate unipoly polynomials related to special numbers and polynomials.
Abstract. The object of the present paper is to establish an integral formula involving Wright ge... more Abstract. The object of the present paper is to establish an integral formula involving Wright generalized Bessel function (or generalized Bessel-Maitland function) J ν,q (z) defined by Singh et al. [21], which is expressed in the terms of generalized (Wright) hypergeometric functions. Some interesting special cases involving Bessel functions, generalized Bessel functions, generalized Mittag-Leffler functions are deduced.
Journal of Thermal Science and Engineering Applications
The authors regret in the published paper referenced above and agree with the discussion by Panto... more The authors regret in the published paper referenced above and agree with the discussion by Pantokratoras (2019, “Discussion: “Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles” (Farooq, U., Lu, D. C., Ahmed, S., and Ramzan, M., 2019, ASME J. Therm. Sci. Eng. Appl., 11(2), p. 021013),” ASME J. Therm. Sci. Eng. Appl., 11(5), p. 055503). In this Closure, the non-similar mathematical model is developed to describe the mixed convective nanofluid flow over vertical sheet which is stretching at an exponential rate. In the published article referenced above, similarity transformations are utilized to convert the governing nonlinear partial differential equations (PDEs) into ordinary differential equations (ODEs). The important physical numbers such as magnetic field (M2), Brownian motion parameter (Nb), thermophoresis (Nt), Eckert number (Ec), ratio of mass transfer Grashof to heat transfer Grashof (N), buoyancy parameter (λ), and Reynolds number (Re) a...
Symmetry
In this paper, we first define type-two degenerate poly-Changhee polynomials of the second kind b... more In this paper, we first define type-two degenerate poly-Changhee polynomials of the second kind by using modified degenerate polyexponential functions. We derive new identities and relations between type-two degenerate poly-Changhee polynomials of the second kind. Finally, we derive type-two degenerate unipoly-Changhee polynomials of the second kind and discuss some of their identities.
Global Social Sciences Review
Every political ideology has a distinct conception of various aspects of human life such as reaso... more Every political ideology has a distinct conception of various aspects of human life such as reason, purpose of life, free-will, liberty, freedom, autonomy, democracy, sovereignty and moral rights and obligations of the citizen. But the fundamental purpose of a political ideology is to define the purpose of the state and its role in providing a political system to its citizen in which individuals can live their social and political life according to the moral values and ethical principles of that political ideology. This paper only elucidates the purpose of the state according to ancient, Liberal, Marxist and Feminist standpoints. To understand the viewpoint of each political ideology, it is necessary to understand the political thought of its founders. It is pertinent to mention that all political thinkers have one ultimate aim in describing the purpose of the state which is the "ultimate good" of the citizen though they may differ with each other. The viewpoint of one ide...
The information industry has witnessed a steady evolution in database power and flexibility. From... more The information industry has witnessed a steady evolution in database power and flexibility. From flat file and hierarchical to relational and distributed relational technologies, data structures have evolved to match more closely the way people visualize and work with data. The latest step in the evolution of databases is the multidimensional database. The Multidimensional data model has emerged during the last decade for facilitating the analysis of huge datasets to help in decisionmaking. The multidimensional database has matured into the database engine of choice for data analysis applications. This application category is widely recognized today as OLAP (On Line Analytical Processing). The multidimensional data model in this paper presents a prototype to facilitate the process of accessing, retrieving, understanding and analyzing the huge and detailed multi-dimensional biological databases in an easy and user friendly way for the scientific community at large. The key information on the dynamics of living biological systems can be analyzed using data hypercube. The technology of dimension modeling has been made use of for analyzing Wisconsin Diagnostic Breast Cancer (WDBC) datasets using multidimensional data hypercube to make it a facility for prediction of type of cancer based on values of 10 different attributes. Microsoft SQL Server Business Intelligence Development Studio-OLAP technique has been utilized for this. A comparison has also been made for Relational vs. Multidimensional database approach and the significant advantages of time saving and memory saving has also been explained. It has been demonstrated that prediction of type of cancer based on any number of symptoms upto 10, is hundred times faster using this multidimensional hypercube storage in comparison to searching the entire space of datasets in a sequential manner as in case of relational table and associated joins. KEYWORDS Cancer, predictive tool, multidimensional, OLAP, data hypercube based on various join conditions and this becomes a sequential access procedure, prone to errors and time-consuming as well. However, the multi-dimensional model transforms the visualization of a schema into a powerful analytical and fast access environment. A multidimensional data schema is represented by using the concept of a cube. A cube is a logical organization of multidimensional data as shown in Fig.1. A cube is derived from a fact table. Edges of cube are referred to as Dimensions that categorize a cube's data. Each dimension is a grouping of common or related columns from one or more tables into a single entity[4,5]. Dimensions group multiple columns from one or more tables into one single entity organized around one or more hierarchies and ordered by levels. These objects can then be used to provide a very simple query interface. A cube contains measures that share the same dimensionality. Measures are just like arrays and are automatically associated to the physical fact table column and related dimension tables. This transformation from fact table column to measure, insulates the user from the complexity of the underlying schema and from the need to understand how the various parts of the schema are joined together. Within an OLAP environment, it is extremely easy to create new measures. All these structures (cubes, measures and dimensions) interact with each other to provide an extremely powerful reporting environment. Each object adds new levels of interactivity when it is fully exploited. OLAP environments provide powerful analytical data sources that users can interrogate to follow trends, patterns and anomalies within a cube across any dimension. OLAP provides analytical calculation options such as statistical, forecasting, planning and regression features that help users intelligently manage their data. These concepts allow users to create powerful and focused queries quickly and easily that return consistent and valid analysis as the user extends the query during additional drill-down and pivot operations. SEARCH SPACE AND PREDICTION OF DIAGNOSIS The access of the fact is very fast as the internal storage of the cube is such that if the total number of dimensions is n, the various unique combinations of different dimensions is 2 n. Each combination of dimensions is referred to as a cuboid. A cuboid can be 1-D, 2-D, 3-D,… n-D if number of dimensions is n. The time taken to access a fact across any particular combination of dimensions is 0(log 2 2 n). The details of the number of cuboids according to number of dimensions, in the present study of biological datasets, are given here:
Multibody System Dynamics, 2005
Journal of Thoracic Oncology, 2010
Introduction: AT-101 is an oral, pan Bcl-2 family protein inhibitor that has demonstrated activit... more Introduction: AT-101 is an oral, pan Bcl-2 family protein inhibitor that has demonstrated activity in small cell lung cancer (SCLC) models. A phase I/II study was conducted combining AT-101 with topotecan in relapsed and refractory SCLC. Methods: An open-labeled multicenter phase I/II study was conducted of oral AT-101 with intravenous topotecan in patients with SCLC who had progressed on prior platinum-containing chemotherapy. The phase II portion was a two-stage design, and two cohorts of patients, sensitive relapsed and refractory, were analyzed. Primary endpoint in the twostage phase II portion was response rate; secondary endpoints were duration of response and time to progression. Results: Thirty-six patients were enrolled. The most common toxicities were hematologic, as would be expected with topotecan and AT-101. The recommended phase II dose was 40 mg AT-101 days 1 to 5 with topotecan 1.25 mg/m 2 days 1 to 5 on a 21-day cycle. In the sensitiverelapsed cohort (n ϭ 18), there were 0 complete response (CR), three partial response (PR), 10 stable disease (SD), and four progressive disease (PD). In the refractory cohort (n ϭ 12), there were 0 CR/PR, five SD, and five PD. The study did not meet its prespecified endpoints to continue enrollment in the second stage of the phase II study. Median time to progression in the sensitive-relapsed cohort was 17.4 weeks and 11.7 weeks in the refractory cohort. Conclusions: AT-101 can be safely combined with topotecan at a reduced dose of 1.25 mg/m 2. The response rates observed did not meet the criteria for additional enrollment; however, many patients had a best response of SD and the median time to progression in both cohorts was favorable. Additional trials of AT-101 in SCLC are ongoing.
International Journal of Engineering, Science and Technology, 2012
In the paper it will be shown that generating functions of hyper Bessel functions due to Humbert ... more In the paper it will be shown that generating functions of hyper Bessel functions due to Humbert and Delerue can be extended to a new class of generating relations for generalized Mittag-Leffler's functions. A number of new and known double and multiple generating functions involving the product of classical polynomials and functions are considered as special cases. .
Applied Mathematics and Computation, 2012
In this paper, we establish some iterative methods for solving real and complex zeroes of nonline... more In this paper, we establish some iterative methods for solving real and complex zeroes of nonlinear equations by using the modified homotopy perturbation method which is mainly due to Golbabai and Javidi [5]. The proposed methods are then applied to solve test problems in order to assess there validity and accuracy.
Applied Mathematics and Computation, 2006
Applied Radiation and Isotopes, Jan 31, 2010
A whole body counting system is in operation at the Nuclear and Technological Institute, in Portu... more A whole body counting system is in operation at the Nuclear and Technological Institute, in Portugal. Computational methods were used to determine the detection efficiency; a well-known source of bias in modelling the behaviour of a HPGe detector is the insufficient knowledge regarding the thickness of the lithium dead layer. In order to accurately simulate the detection system and to achieve agreement between the Monte Carlo results and the performed measurements, the value for the dead layer thickness was optimized.
asee.org
Electrospinning is a novel process of producing sub-micron and nano-sized fibers that consist of ... more Electrospinning is a novel process of producing sub-micron and nano-sized fibers that consist of higher physical properties (e.g., surface area, porosity and flexibility). In a typical electrospinning process, a jet is ejected from a charged polymer solution when the applied electric field strength overcomes the surface tension of the solution. The ejected jet then travels rapidly to the collector target located at some distance from the charged polymer solution under the influence of the electric field and becomes a solid polymer filament as the jet dries. This communication presents the fabrication and characterizations of nanofibers and devices for undergraduate and graduate students to enhance their hands-on laboratory experiences.