On properties and applications of (p,q)-extended τ-hypergeometric functions

Rakesh K. Parmar; Tibor K. Pogány; Ram K. Saxena

doi:10.1016/j.crma.2017.12.014

Mathematical analysis

On properties and applications of (p,q)-extended τ-hypergeometric functions
[Sur les propriétés et applications des fonctions τ-hypergéométriques (p,q)-étendues]

Présenté par : the Editorial Board

Rakesh K. Parmar ¹ ; Tibor K. Pogány ^2,³ ; Ram K. Saxena ⁴

¹ Department of Mathematics, Govt. College of Engineering and Technology, Bikaner 334004, Rajasthan, India
² Faculty of Maritime Studies, University of Rijeka, 51000 Rijeka, Croatia
³ Institute of Applied Mathematics, Óbuda University, 1034 Budapest, Hungary
⁴ Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur-342004, Rajasthan, India

Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 278-282.

Résumé
Abstract

Nous introduisons les fonctions τ-hypergéométriques et hypergéométriques confluentes $(p, q)$ -étendues, avec leurs représentations intégrales. Nous présentons également des formules intégrales closes pour les a-séries de type Mathieu et les versions alternées associées, dont les termes contiennent les fonctions τ-hypergéométriques $(p, q)$ -étendues, avec les relations fonctionnelles de contiguïté.

We introduce the $(p, q)$ -extended τ-hypergeometric and confluent hypergeometric functions along with their integral representations. We also present closed integral expressions for the Mathieu-type a-series and for the associated alternating versions whose terms contain the $(p, q)$ -extended τ-hypergeometric functions with related contiguous functional relations.

Reçu le : 2017-07-27
Accepté le : 2017-12-12
Publié le : 2018-02-02

DOI : 10.1016/j.crma.2017.12.014

Affiliations des auteurs :

Rakesh K. Parmar ¹ ; Tibor K. Pogány ^{2, 3} ; Ram K. Saxena ⁴

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     author = {Rakesh K. Parmar and Tibor K. Pog\'any and Ram K. Saxena},
     title = {On properties and applications of (\protect\emph{p},\protect\emph{q})-extended \protect\emph{\ensuremath{\tau}}-hypergeometric functions},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {278--282},
     publisher = {Elsevier},
     volume = {356},
     number = {3},
     year = {2018},
     doi = {10.1016/j.crma.2017.12.014},
     language = {en},
}

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Rakesh K. Parmar; Tibor K. Pogány; Ram K. Saxena. On properties and applications of (p,q)-extended τ-hypergeometric functions. Comptes Rendus. Mathématique, Volume 356 (2018) no. 3, pp. 278-282. doi : 10.1016/j.crma.2017.12.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.12.014/

Bibliographie
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