Convolution Integral Equation Involving Generalized Hypergeometric Function and H-function of Two Variables

2019 ◽  
Vol 10 (4) ◽  
pp. 954-960
Author(s):  
Poonam Kumari ◽  
Yashwant Singh
Keyword(s):  
Integral Equation ◽  
Hypergeometric Function ◽  
Generalized Hypergeometric Function ◽  
Convolution Integral ◽  
Convolution Integral Equation ◽  
Function Of Two Variables

scholarly journals The product of generalized polynomials sets pertaining to a class of convolution integral equations

2009 ◽  
Vol 42 (3) ◽  
Author(s):  
V. B. L. Chaurasia ◽  
Mukesh Agnihotri
Keyword(s):  
Integral Equation ◽  
Integral Equations ◽  
Mellin Transform ◽  
Convolution Integral ◽  
Generalized Polynomials ◽  
Fredholm Type ◽  
Convolution Integral Equation ◽  
Convolution Integral Equations

AbstractThe purpose of this paper is to obtain a certain class of convolution integral equation of Fredholm type with the product of two generalized polynomials sets. Using of the Mellin transform technique; we have established solution of the integral equation.

scholarly journals Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables

Mathematics ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 48
Author(s):  
Kottakkaran Sooppy Nisar
Keyword(s):  
Zeta Function ◽  
Hypergeometric Function ◽  
Summation Formula ◽  
Integral Representations ◽  
Generalized Hypergeometric Function ◽  
Special Cases ◽  
Lerch Zeta Function ◽  
Function Of Two Variables

The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized hypergeometric function. To strengthen the main results we also consider some important special cases.

scholarly journals Convolution integral equation of Fredholm type with certain trancedental functions

2008 ◽  
Vol 39 (3) ◽  
pp. 227-237
Author(s):  
V. B. L. Chaurasia ◽  
Vishal Saxena
Keyword(s):  
Integral Equation ◽  
Fractional Integral ◽  
Special Function ◽  
Integral Operators ◽  
Convolution Integral ◽  
Fredholm Type ◽  
Fractional Integral Operators ◽  
Convolution Integral Equation ◽  
Weyl Fractional Integral

The aim of this paper is to establish a solution of a certain class of convolution integral equation of Fredholm type whose kernel involve certain product of special function by using Riemann-Liouville and Weyl fractional integral operators. Some interesting particular cases are also considered.

A new expansion formula for hypergeometric functions of two variables

1968 ◽  
Vol 64 (2) ◽  
pp. 413-416
Author(s):  
B. L. Sharma
Keyword(s):  
Hypergeometric Function ◽  
Hypergeometric Functions ◽  
Generalized Hypergeometric Function ◽  
Expansion Formula ◽  
Generalized Hypergeometric Functions ◽  
Functions Of Two Variables ◽  
Function Of Two Variables

The main object of this paper is to derive an expansion formula for a generalized hypergeometric function of two variables in a series of products of generalized hypergeometric functions of two variables and a Meijer's G-function. The result established in this paper is the extension of the results recently given by Srivastava (5) and Verma (6). It is interesting to note that some interesting expansions can be derived from the result by specializing the parameters.

Sign in / Sign up

Export Citation Format

Share Document