Alok Bhargava - Academia.edu (original) (raw)
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Papers by Alok Bhargava
In this paper, certain integrals involving product of the I-function and Fox-Wright's Generalized... more In this paper, certain integrals involving product of the I-function and Fox-Wright's Generalized Hypergeometric function have been established. Being unified and general in nature, these integrals yield a number of known and new results as special cases. For the sake of illustration, three corollaries are also recorded here as special case of our main results.
In this paper, we establish certain integrals involving Srivastava's Polyno-mials [5] and Aleph F... more In this paper, we establish certain integrals involving Srivastava's Polyno-mials [5] and Aleph Function ([8], [10]). On account of general nature of the functions and polynomials involved in the integrals, our results provide interesting unifications and generalizations of a large number of new and known results, which may find useful applications in the field of science and engineering. To illustrate, we have recorded some special cases of our main results which are also sufficiently general and unified in nature and are of interest in themselves.
In the present paper we establish two theorems pertaining to N-fractional calculus of product of ... more In the present paper we establish two theorems pertaining to N-fractional calculus of product of a general class of functions and I-function. The main results provide useful extension and unification of a number of (known or new) results for various special cases of the general class of functions and I-function. For the sake of illustration, we obtain four corollaries as special cases of the main results.
In the present paper, we study and develop the generalized fractional integral operators given by... more In the present paper, we study and develop the generalized fractional integral operators given by Saigo [7,8,9]. We establish two theorems that give the images of the product of I-function and a general class of polynomials in Saigo operators. On account of the general nature of the Saigo operators, I-function and a general class of polynomials, a large number of new and known images involving Riemann-Liouville and Erdelyi-Kober fractional integral operators and several special functions follow as special cases of our main findings.
In this paper, we evaluate a general class of multiple Eulerian integral with integrands involvin... more In this paper, we evaluate a general class of multiple Eulerian integral with integrands involving a product of general class of polynomials, a general sequence of functions and the multivariable H-function with general arguments. On account of most general nature of the functions and polynomials involved in the integral, our result provide interesting unifications and generalizations of a large number of new and known results. To illustrate, we have obtained several special cases of our main result which are also sufficiently general in nature and of interest.
In this paper, certain integrals involving product of the I-function and Fox-Wright's Generalized... more In this paper, certain integrals involving product of the I-function and Fox-Wright's Generalized Hypergeometric Function have been established. Being unified and general in nature, these integrals yield a number of known and new results as particular cases. For the sake of illustration, some special cases are also recorded here.
In this paper, certain integrals involving product of the I-function and Fox-Wright's Generalized... more In this paper, certain integrals involving product of the I-function and Fox-Wright's Generalized Hypergeometric function have been established. Being unified and general in nature, these integrals yield a number of known and new results as special cases. For the sake of illustration, three corollaries are also recorded here as special case of our main results.
In this paper, we establish certain integrals involving Srivastava's Polyno-mials [5] and Aleph F... more In this paper, we establish certain integrals involving Srivastava's Polyno-mials [5] and Aleph Function ([8], [10]). On account of general nature of the functions and polynomials involved in the integrals, our results provide interesting unifications and generalizations of a large number of new and known results, which may find useful applications in the field of science and engineering. To illustrate, we have recorded some special cases of our main results which are also sufficiently general and unified in nature and are of interest in themselves.
In the present paper we establish two theorems pertaining to N-fractional calculus of product of ... more In the present paper we establish two theorems pertaining to N-fractional calculus of product of a general class of functions and I-function. The main results provide useful extension and unification of a number of (known or new) results for various special cases of the general class of functions and I-function. For the sake of illustration, we obtain four corollaries as special cases of the main results.
In the present paper, we study and develop the generalized fractional integral operators given by... more In the present paper, we study and develop the generalized fractional integral operators given by Saigo [7,8,9]. We establish two theorems that give the images of the product of I-function and a general class of polynomials in Saigo operators. On account of the general nature of the Saigo operators, I-function and a general class of polynomials, a large number of new and known images involving Riemann-Liouville and Erdelyi-Kober fractional integral operators and several special functions follow as special cases of our main findings.
In this paper, we evaluate a general class of multiple Eulerian integral with integrands involvin... more In this paper, we evaluate a general class of multiple Eulerian integral with integrands involving a product of general class of polynomials, a general sequence of functions and the multivariable H-function with general arguments. On account of most general nature of the functions and polynomials involved in the integral, our result provide interesting unifications and generalizations of a large number of new and known results. To illustrate, we have obtained several special cases of our main result which are also sufficiently general in nature and of interest.
In this paper, certain integrals involving product of the I-function and Fox-Wright's Generalized... more In this paper, certain integrals involving product of the I-function and Fox-Wright's Generalized Hypergeometric Function have been established. Being unified and general in nature, these integrals yield a number of known and new results as particular cases. For the sake of illustration, some special cases are also recorded here.