Mathieu-type series built by $(p, q)$-extended Gaussian hypergeometric function

Autor:	Choi, Junesang, Parmar, Rakesh K., Pogány, Tibor K.
Rok vydání:	2016
Předmět:	Mathematics - Classical Analysis and ODEs 33B20 33C20 (Primary) 33B15 33C05 (Secondary)
Druh dokumentu:	Working Paper
Popis:	The main purpose of this paper is to present closed integral form expressions for the Mathieu-type $\boldsymbol a$-series and its associated alternating version whose terms contain a $(p, q)$-extended Gauss' hypergeometric function. Certain upper bounds for the two series are also given.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1604.05077 Zobrazit plný text záznamu View this record from Arxiv