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

Authors: Ozarslan, Mehmet Ali;

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

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, Ozarslan 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 infinite series containing hypergeometric, confluent hy-pergeometric, Whittaker's, Lagrange functions, Laguerre polynomials, and products of them.

Keywords

Whittaker's function, extended confluent hypergeometric functions, Laguerre polynomials, extended fractional derivative operator, extended Appell's hypergeometric functions, Extended hypergeometric functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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