Fractional integration of certain generalized functions
Author
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
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