Fractional integration of certain generalized functions

Author

al-Jarrah, Ahmad Ali

Source

Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series

Issue

Vol. 21, Issue 3 (31 Dec. 2006), pp.9-17, 9 p.

Publisher

Mutah University Deanship of Academic Research

Publication Date

2006-12-31

Country of Publication

Jordan

No. of Pages

9

Main Subjects

Electronic engineering

Abstract EN

The aim of the present paper is to derive a finite integral pertaining to a product of Gauss hypergeometric functions, two general class of polynomials with H -function.

In particular cases we have discussed the integration of product of a certain olass of Feynman integral with our main integral.

A large number of known and new results have been obtained by proper choice of parameter.

Application of the main result have also been disoussed with the Riemann-Liouville type of fractional integral operators.

The results derived here are basic in nature and they are likely to be of useful application in several fields notably Statistics, Probability and Electromagnetic theory.

2000 Mathematics Subject Classification: 44 A 10, 33 C 20, 26 A 33.

Keywords: Fractional integral, Feynman integrals, Gauss hypergeometric fiinction, General class of polynomials, H -ftmotion.

American Psychological Association (APA)

al-Jarrah, Ahmad Ali. 2006. Fractional integration of certain generalized functions. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 21, no. 3, pp.9-17.
https://search.emarefa.net/detail/BIM-285817

Modern Language Association (MLA)

al-Jarrah, Ahmad Ali. Fractional integration of certain generalized functions. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 21, no. 3 (2006), pp.9-17.
https://search.emarefa.net/detail/BIM-285817

American Medical Association (AMA)

al-Jarrah, Ahmad Ali. Fractional integration of certain generalized functions. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2006. Vol. 21, no. 3, pp.9-17.
https://search.emarefa.net/detail/BIM-285817

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 17

Record ID

BIM-285817