<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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])<bold>.</bold>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.</p></abstract>

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.

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

Department of Mathematics, Anand International College of Engineering, Jaipur-303012, India

Journal of Applied Mathematics, Statistics and Informatics

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...

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

Publié en ligne: 13 avr. 2013

Pages: 29 - 35

DOI: https://doi.org/10.2478/v10294-012-0012-4

This content is open access.