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Some Remarks on Extended Hypergeometric, Extended Confluent Hypergeometic and Extended Appell's Functions.

Authors :
Ozarslan, Mehmet Ali
Source :
Journal of Computational Analysis & Applications. Oct2012, Vol. 14 Issue 4, p1148-1153. 6p.
Publication Year :
2012

Abstract

Recently, Chaudhry et al. have introduced the extended hypergeometric functions (EHF) and extended confluent hypergeometric functions (ECHF) by using the generalized beta functions [1]. In a similar way, Özarslan et al. extended the first two Appell's hypergeometric functions. In this paper, we show that these extended functions can be represented in terms of a finite number of well known higher transcendental functions, especially as an inifinite series containing hypergeometric, confluent hypergeometric, Whittaker's, Lagrange functions, Laguerre polynomials, and products of them. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15211398
Volume :
14
Issue :
4
Database :
Academic Search Index
Journal :
Journal of Computational Analysis & Applications
Publication Type :
Academic Journal
Accession number :
74160246