UB Paderborn / Katalog / Suche / Details

Applied mathematics and computation, 2014-01, Vol.226, p.484-491

2014

Autor(en) / Beteiligte

Titel

A certain generalized Pochhammer symbol and its applications to hypergeometric functions

Ist Teil von

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2014

Link zum Volltext

Quelle

ScienceDirect Pay Per View(PPV) Titles

Beschreibungen/Notizen

In this article, we first introduce an interesting new generalization of the familiar Pochhammer symbol by means of a certain one-parameter family of generalized gamma functions. With the help of this new generalized Pochhammer symbol, we then introduce an extension of the generalized hypergeometric function rFs with r numerator and s denominator parameters. Finally, we present a systematic study of the various fundamental properties of the class of the generalized hypergeometric functions introduced here.

Sprache: Englisch
Identifikatoren: ISSN: 0096-3003
eISSN: 1873-5649
DOI: 10.1016/j.amc.2013.10.032
Titel-ID: cdi_proquest_miscellaneous_1531021128

Format: –
Schlagworte: Bessel, Computation, Confluent hypergeometric function, Gamma and the extended gamma functions, Gamma function, Gauss hypergeometric function, Generalized hypergeometric function, Generalized hypergeometric polynomials, Generating functions, Hypergeometric functions, Mathematical analysis, Mathematical models, modified Bessel and Macdonald functions, Pochhammer’s symbol and its generalizations, Symbols

Empfehlungen zum selben Thema automatisch vorgeschlagen von bX