© 2012. Praveen Agarwal & Mehar Chand.This is a research/review paper, distributed under the terms of the Creative Commons
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Global Journal of Science Frontier Research
Mathematics & Decision Sciences
Volume 12 Issue 3 Version 1.0 March 2012
Type : Double Blind Peer Reviewed International Research Journal
Publisher: Global Journals Inc. (USA)
Online ISSN: 2249-4626 & Print ISSN: 0975-5896
New Finite Integrals of Generalized Meliin-Barnes Type of
Contour Integrals
By Praveen Agarwal & Mehar Chand
Anand International College of Engineering
Abstract - 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.
Keywords :
H
-function, general class of polynomial, generalized wright hypergeometric function.
GJSFR-F Classication : (MSC 2000) 33C45, 33C60
NewFiniteIntegralsofGeneralizedMeliin-BarnesTypeofContourIntegrals
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