Expertise

  • Applied Mathematics

Publications

Total Articles 60
Books 0
Proceedings 0

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Professional Recognition

2013

Periyar Shikshak Puraskar

On (25/12/2013) (For his Outstanding Services in Higher Education) by Madhyamic Shiksha Rajya Mantri
2022

Distinguished Service Award

On ( June 16-18, 2022) for his Outstanding Contribution to his Subject and/or Distinguished Services

Community & Membership

2023

Admission Committee

Coordinator

Indian Science Congress

2010
Life Member

SSFA

2005
Life Member

Bharat Ganita Parishad

2005
Life Member

Indian Mathematical Society

2000
Life Member

Vijnana Parishad of India (VPI)

1989
Life Member

Bio

Special Functions and Their Applications, Fractional Calculus, Analytic Number Theory and its Generalization; Affiliation: Department of Mathematics, D. A-V. Postgraduate College Kanpur -208001, Uttar Pradesh India; Email: principaldavcollegekanpur@gmail.com; Current Position: Professor in Mathematics Ph. D. Degree Awarded in the Year: 1993 Service Record: First Joining at Govt. College Jaiharikhal Garhwal (06/05/1997 to 17/12/1999 as Lecturer in Mathematics), then from 18/12/1999 to Professor

Personal Details

  • Male
  • Damodar Nagar, Kanpur, Uttar Pradesh, India
Ph. D.
Other Institute 1993
Professor May 1997 – Jun 2025
D.A.V. COLLEGE, CIVIL LINES, | MATHEMATICS

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Co-Authors (4)

Madan Mohan

Prof Madan Mohan Panja

Visva-Bharati University

Manoj Kumar

Mr Manoj Kumar Gupta

Chhatrapati Shahu Ji Maharaj Kanpur University

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Scholarly Work

Solution of Epidemic Model Problems in terms of Hypergeometric Functions and Applications

Funding Agency: University Grants Commission, New Delhi, India

Application of Special Functions in Epidemiological Problems

110,000

2010 - 2011

Completed
The Generalizations of the Special Functions and Their Applications in Modern Sciences

Funding Agency: University Grants Commission, New Delhi, India

Innovative Research Project

35,000

2004 - 2006

Completed

Applications of Special Functions and Their Generating Functions

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2007

A Study of Multiple Hypergeometric Functions and Their Applications in Recent Sciences

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2012

A Study of Several Variables Hypergeometric Functions and Their Applications in Recent Model Problems

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2012

A Study of Generalized Special Functions, Hypergeometric Generating Relations and Applications

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2011

A Theory of Generalized Hypergeometric Functions and Their Applications in Modern Scientific Problems

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2011

A Study of Generalized Mathematical Functions and Their Applications

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2016

A Study of Generalized Hypergeometric Functions Through Sequence of Fractional Integrals and Their Applications

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2015

An Application of Fractional Calculus to Study Some Physical Problems

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2021

A Study of Some Generalized Hypergeometric Functions Though Unified Integrals and Applications

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2008

Dirichlet Integral Transforms Involving Quadruple Hypergeometric Functions

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2008

On Reducible Functions of Quadruple Hypergeometric Functions and Their Some Applications

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2008

Application of Multivariable Hypergeometic Functions in Boundary Value Problems

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2010

Special Function and Its Application in Statistical Distribution

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2011

Special Function and Its Application in Boundary Value Problems

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2011

Partial Differential Equations and Special Functions

University Chhatrapati Shahu Ji Maharaj University Kanpur Uttar Pradesh India
Year 2011
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Scholarly Publications

Four Dimensional Joint Moments due to Dirichlet Density and Their Applications in Summability of Quadruple Hypergeometric Functions

Open Access
article
Authors: Hemant Kumar, M. A. Pathan and Priyanka Yadav

On Some Results Involving Statistical Characteristics, Operational Formulae of Special Functions and Anomalous Diffusion

Open Access
article
Authors: Hemant Kumar and M. A. Pathan

On A Bi Dimensional Basis involving Special Functions for Partial in Space and Time Fractional Wave Mechanical Problems and Approximation

Open Access
article
Authors: Hemant Kumar, Harish Srivastava and Surya Kant Rai

VECTOR CALCULUS

Open Access
book
Authors: Shubhnesh Goyal and Hemant Kumar

Large Values of Approximate Solution of Non-Linear Differential Equations Due to the Laplace Transforms and Their Computations

Open Access
conference paper
Authors: Kumar, Hemant

On Generalization of Weierstrass Approximation Theorem for a general Class of Polynomials and Generating Functions

Open Access
article
Authors: Hemant Kumar and M. A. Pathan

On the Distribution of Non-zero Zeros of Generalized Mittag-Leffler Functions

Open Access
article
Authors: Hemant Kumar and M. A. Pathan

The Characteristic Relations Due to Lupas-Kumar-Pathan type Operators

Open Access
article