On Mathieu-type series with (p, nu)-extended hypergeometric terms. Integral representations and upper bounds

Autor:	Rakesh K. Parmar, Tibor K. Pogány, S. Saravanan
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	(p nu)-extended Beta function (p nu)-extended Gauss hypergeometric function (p nu)-extended confluent hypergeometric function (p nu)-extended Mathieu-type series modified Bessel function of the second kind bounding inequalities for (p nu)-extended Mathieu-type series General Mathematics (p ν)-extended Beta function (p ν)-extended Gauss hypergeometric function (p ν)-extended confluent hypergeometric function (p ν)-extended Mathieu-type series bounding inequalities for (p ν)-extended Mathieu-type series Computer Science (miscellaneous) Engineering (miscellaneous)
Zdroj:	Mathematics; Volume 11; Issue 7; Pages: 1710
Popis:	Integral form expressions are obtained for the Mathieu-type series and for their associated alternating versions, the terms of which contain a (p,ν)-extended Gauss hypergeometric function. Contiguous recurrence relations are found for the Mathieu-type series with respect to two parameters, and finally, particular cases and related bounding inequalities are established.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12f7bda84e1846e01dc569f7e0bfaabc https://doi.org/10.3390/math11071710 Zobrazit plný text záznamu