A study of some generalized incomplete elliptic integrals and associated definite integrals involving general class of polynomials, single & multivariable H- function and -function with applications

Author:
Rashmi Jain and Beena Bundela
Affiliation:

Department of Mathematics, Malaviya National Institute of Technology, Jaipur India

Email:- rashmiramessh1@gmail.com

Keyword:
Generalized incomplete elliptic integral, general class of polynomial, Fox's H-function, -function and multivariable H-function. Mathematics Subject Classification(2010). 33C75, 33C45, 33C60, 33C70.
Issue Date:
April 2013
Abstract:

In the present paper, we derive two new theorems involving generalized incomplete elliptic integral and generalized Hurwitz-Lerch zeta function. Besides the first theorem involves the product of general class of polynomial and multivariable H-function, the second involves the product of Fox's H-function and - function. Then we establish three new corollaries of our theorems. Next as an application of our theorems we obtain four new and interesting finite integrals involving several special functions notably confluent form of Appell function, Miller-Ross function, Whittaker function, reduced Green function, generalized Wright Bessel function. The integrals established in this paper may find applications in certain engineering problems.

Pages:
115-124
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
jusps-A
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Copy the following to cite this article:

Rashmi Jain and Beena Bundela , "A study of some generalized incomplete elliptic integrals and associated definite integrals involving general class of polynomials, single & multivariable H- function and -function with applications ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 1, Page Number 115-124, 2016

Copy the following to cite this URL:

Rashmi Jain and Beena Bundela , "A study of some generalized incomplete elliptic integrals and associated definite integrals involving general class of polynomials, single & multivariable H- function and -function with applications ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 1, Page Number 115-124, 2016

Available from: https://www.ultrascientist.org/paper/688/

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