Dr. Praveen Agarwal
Nonlinear Systems, Special function, fractional calculus, Mathematics Physics, Integral transform Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) Severe acute respiratory syndrome coronavirus Infectious disease (medical specialty) Emerging infectious disease Nonlinear Partial Differential Equations Nonlinear Differential Equations Analysis Fractional Differential Equations Solutions Mathematical Inequalities and Applications Mathematical functions and polynomials general class of polynomials multivariable H-function Hypergeometric function of a matrix argument Barnes integral Confluent hypergeometric function Generalized hypergeometric function Generalized H-function Hypergeometric function Logarithmically convex function Fractional-order system Lauricella hypergeometric series Fractional calculus Basic hypergeometric series Applied Mathematics Modeling and Simulation

Educational Journey

University of Rajasthan

Ph.D. in Mathematics • Mathematics

2005

Università degli Studi della Tuscia

Postdoctoral

M.Sc., M.Phil., Ph.D.

Experience

Harish-Chandra Research Institute

Visiting Faculty

2019 - Present • Mathematics

0 - Present

Anand International College of Engineering

0 - 0

Editors Role

Managing Editor

Springer Nature Group

0 - Present

Book Series Editor

CRC Press

0 - Present

Research

Integral Formulaeas Involving Two H I-function and Multivariable Polynomials

Article April 17, 2012

The aim of the present paper is to derive a new Integral formulae’s for the H - function due to Inayat-Hussain whose based upon some integral formulae due to Qureshi et.al. The results are obtained in a compact form containing the multivariable Polynomials.

New Theorems Involving The Generalized Mellin-Barnes Type of Contour Integrals and General Class of Polynomials

Article April 10, 2012

In the present investigation, First we establish three new theorems, which involves generalized Mellin-Barnes type of contour integrals and general class of polynomials. Next, we obtain certain new integrals and expansion formulas by the application of our theorems. By giving suitable values to the parameters, main integral reduces to Fox's H-function and generalized wright hypergeometric function, etc. Our Main findings provide interesting unification and extensions of a number of new results.

New Finite Integrals of Generalized Meliin-Barnes Type of Contour Integrals

Article April 10, 2012

In the present paper, we obtain three new finite integral formulas. These formulas involve the product of a general class of polynomials and the generalized Meliin- Barnes type of contour integrals. Mainly we are using series representation of the H-function given by Agarwal [14], Agarwal and Jain [13]. These integral formulas are unified in nature and act as the key formulas from which we can obtain as their special cases. By giving suitable values to the parameters, our main integral formulas are reduces to the Fox H-function, the G-function and generalized wright hypergeometric function.