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Journal of Applied Mathematics, Statistics and Informatics

The Journal of University of Saint Cyril and Metodius

Editor-in-Chief: Kvasnicka, Vladimír

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On a new Theorem Involving Generalized Mellin-Barnes Type of Contour Integral and Srivastava Polynomials

Praveen Agarwal
Published Online: 2013-04-13 | DOI: https://doi.org/10.2478/v10294-012-0012-4


Motivated by resent work of Agarwal [1], the author is establish the new theorem associated with the H - function (Generalized Mellin-Barnes type of Contour Integral), which was introduced and study in a series of papers by by Inayat -Hussain ([12], [13]).Theorem involves a product of the H -function, Generalized hypergeometric functions and Srivastava polynomials. The convergence and existence condition, basic properties of H -function were given by Buschman and Srivastava ([7]). Next, we obtain certain new integrals by the application of our theorem. These results, besides being of very general character have been put in a compact form avoiding the occurrence of infinite series and thus making them useful in applications. Our findings provide interesting unifications and extensions of a number of new results.

Additional Key Words and Phrases : H -function; Srivastava Polynomial; expansion formulae

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About the article

Published Online: 2013-04-13

Published in Print: 2012-12-01

Citation Information: Journal of Applied Mathematics, Statistics and Informatics, Volume 8, Issue 2, Pages 29–35, ISSN (Print) 1336-9180, DOI: https://doi.org/10.2478/v10294-012-0012-4.

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