On a new (p,q)-Mathieu-type power series and its applications

Autor:	Khaled Mehrez, Zivorad Tomovski
Rok vydání:	2019
Předmět:	Power series Pure mathematics Applied Mathematics Discrete Mathematics and Combinatorics Type (model theory) Analysis Mathematics
Zdroj:	Applicable Analysis and Discrete Mathematics. 13:309-324
ISSN:	2406-100X 1452-8630
DOI:	10.2298/aadm190427005m
Popis:	Our aim in this paper, is to establish certain new integral representations for the (p,q)-Mathieu-type power series. In particular, we investigate the Mellin-Barnes type integral representations for a particular case of these special function. Moreover, we introduce the notion of the (p, q)-Mittag- Leffler functions and we present a relationships between these two functions. Some other applications are proved, in particular two Tur?n type inequalities for the (p,q)-Mathieu-type series are derived.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2aa511cb95539a0240d008db8313d3e1 https://doi.org/10.2298/aadm190427005m Zobrazit plný text záznamu Plný text ve formátu PDF