SOME DEFINITE INTEGRALS OF GRADSHTEYN-RYZHIK AND OTHER INTEGRALS

Authors

  • KALEEM

  • Dr. M. I .QURESHI

  • RAM PAL

Leibnitz rule for differentiation under the integral sign; Generalized Gaussian Hypergeometric Function; Kamp´e de F´eriet’s General Double Hyperg

Abstract

In the present paper we evaluate three definite integrals with certain convergence conditions, using Leibnitz rule for differentiation under integral sign and Wallis formula. Some other integrals are also evaluated by means of Leibnitz rule, Kummer's first transformation and reduction formula, series rearrangement techniques under stated convergence conditions.

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How to Cite

SOME DEFINITE INTEGRALS OF GRADSHTEYN-RYZHIK AND OTHER INTEGRALS. (2011). Global Journal of Science Frontier Research, 11(4), 75-80. https://www.journalofscience.org/index.php/GJSFR/article/view/247

 

References

(2010) BIBLIOGRAFÍAY REFERENCIAS. 141-152.

D Bierens De Haan (1867) Nouvelles Tables D'integrales Definies.

G Boros, V Moll (1998) An Integral with Three Parameters. 40(4), 972-980.

I Gradshteyn, I Ryzhik (1965) Table of Integrals, Series and Products, Fourth Edition.

E Rainville (1960) Special Functions.

H Srivastava, H Manocha (1984) A Treatise on Generating Functions.

SOME DEFINITE INTEGRALS OF GRADSHTEYN-RYZHIK AND OTHER INTEGRALS

Published

2011-07-06

Issue

Vol. 11 No. 4 (2011): GJSFR Volume 11 Issue 4

Section

Articles

License

Copyright (c) 2011 Authors and Global Journals Private Limited

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

SOME DEFINITE INTEGRALS OF GRADSHTEYN-RYZHIK AND OTHER INTEGRALS. (2011). Global Journal of Science Frontier Research, 11(4), 75-80. https://www.journalofscience.org/index.php/GJSFR/article/view/247