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Hari Niranjan

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Papers by Hari Niranjan

Research paper thumbnail of Subclass of Analytic Functions Connected with Double Zeta Function

Symmetry

In this survey-cum-expository work, we primarily seek to study many families of the renowned Hurw... more In this survey-cum-expository work, we primarily seek to study many families of the renowned Hurwitz–Lerch Zeta mapping, including the so-called generalized Hurwitz–Lerch Zeta mappings. The purpose of this study is to examine a new subclass of Hurwitz–Lerch Zeta mappings with negative coefficients in the unit disc U={z∈C:|z|<1}. We explore fundamental characteristics of the defined class, such as coefficient inequality, neighborhoods, partial sums, and integral means properties.

Research paper thumbnail of MHD mixed convection stagnation-point flow of a chemically reacting fluid over a plate in a porous medium with radiation / Niranjan Hari

This thesis deals with the extensive analysis on mathematical modelling of mixed convective flow,... more This thesis deals with the extensive analysis on mathematical modelling of mixed convective flow, heat and mass transfer over a vertical plate embedded in a porous medium near the stagnation point with various effects, such as MHD, slip, chemical reaction, radiation, heat generation/absorption, soret and dufour effects. The working medium is an incompressible, Newtonian, viscous and electrically conducting fluid. A stagnation point occurs whenever a flow impinges on a solid object and it holds the highest pressure. The fluid divided into two streams when the fluid hits at stagnation point and the viscous flow adheres to the plate. The uniform magnetic field is applied in the direction normal to the vertical plate. Since the magnetic Reynolds number is too small, the induced magnetic field is negligible. There is no Hall effect and Joule heating. The porous medium is modeled by Darcy’s law and the porous medium is isotropic and homogeneous. The porous medium is in thermodynamic equil...

Research paper thumbnail of Rare Case of Plunging Ranula with Parapharyngeal Extension and Absent Submandibular Gland : Excision by Transcervical Approach

Plunging ranula extending into parapharyngeal space till the skull base with associated absence o... more Plunging ranula extending into parapharyngeal space till the skull base with associated absence of submandibular gland is a rare finding. Transcervical approach for its excision is a challenging procedure in view of limited exposure and presence of important neurovascular structures in the field. We present a clinical case of a left sided plunging ranula extending into the parapharyngeal space till skull base in a 19 year old male who presented to a tertiary care hospital with complaints of slowly increasing swelling in neck and oral cavity for duration of six months. Ultrasound neck revealed well defined heterogeneously hypoechoic collection in left submandibular region. Contrast enhanced computed tomography revealed a non-enhancing, cystic mass involving left submandibular space extending into left parapharyngeal space till skull base and absent left submandibular gland. Ranula measuring 10cm*6cm was excised in to by tanscervical approach without damage to any neurovascular struct...

Research paper thumbnail of N Stagnation Point Flow Toward a Vertical Plate in a Porous Medium with Radiation and Heat Generation

Research paper thumbnail of Subclass of Analytic Functions Connected with Double Zeta Function

Symmetry

In this survey-cum-expository work, we primarily seek to study many families of the renowned Hurw... more In this survey-cum-expository work, we primarily seek to study many families of the renowned Hurwitz–Lerch Zeta mapping, including the so-called generalized Hurwitz–Lerch Zeta mappings. The purpose of this study is to examine a new subclass of Hurwitz–Lerch Zeta mappings with negative coefficients in the unit disc U={z∈C:|z|<1}. We explore fundamental characteristics of the defined class, such as coefficient inequality, neighborhoods, partial sums, and integral means properties.

Research paper thumbnail of MHD mixed convection stagnation-point flow of a chemically reacting fluid over a plate in a porous medium with radiation / Niranjan Hari

This thesis deals with the extensive analysis on mathematical modelling of mixed convective flow,... more This thesis deals with the extensive analysis on mathematical modelling of mixed convective flow, heat and mass transfer over a vertical plate embedded in a porous medium near the stagnation point with various effects, such as MHD, slip, chemical reaction, radiation, heat generation/absorption, soret and dufour effects. The working medium is an incompressible, Newtonian, viscous and electrically conducting fluid. A stagnation point occurs whenever a flow impinges on a solid object and it holds the highest pressure. The fluid divided into two streams when the fluid hits at stagnation point and the viscous flow adheres to the plate. The uniform magnetic field is applied in the direction normal to the vertical plate. Since the magnetic Reynolds number is too small, the induced magnetic field is negligible. There is no Hall effect and Joule heating. The porous medium is modeled by Darcy’s law and the porous medium is isotropic and homogeneous. The porous medium is in thermodynamic equil...

Research paper thumbnail of Rare Case of Plunging Ranula with Parapharyngeal Extension and Absent Submandibular Gland : Excision by Transcervical Approach

Plunging ranula extending into parapharyngeal space till the skull base with associated absence o... more Plunging ranula extending into parapharyngeal space till the skull base with associated absence of submandibular gland is a rare finding. Transcervical approach for its excision is a challenging procedure in view of limited exposure and presence of important neurovascular structures in the field. We present a clinical case of a left sided plunging ranula extending into the parapharyngeal space till skull base in a 19 year old male who presented to a tertiary care hospital with complaints of slowly increasing swelling in neck and oral cavity for duration of six months. Ultrasound neck revealed well defined heterogeneously hypoechoic collection in left submandibular region. Contrast enhanced computed tomography revealed a non-enhancing, cystic mass involving left submandibular space extending into left parapharyngeal space till skull base and absent left submandibular gland. Ranula measuring 10cm*6cm was excised in to by tanscervical approach without damage to any neurovascular struct...

Research paper thumbnail of N Stagnation Point Flow Toward a Vertical Plate in a Porous Medium with Radiation and Heat Generation

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