Some Mathieu-type series associated with the Fox–Wright function

✍ Scribed by T.K. Pogány; H.M. Srivastava

• Book ID: 104008337
• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 744 KB
• Volume: 57
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2008.07.016

✦ Synopsis

Fox-Wright p Ψ q function Hypergeometric p F q function Integral representations of series Mathieu-type series a b s t r a c t Closed-form integral expressions are derived here for a family of convergent Mathieutype series and its alternating variant when their terms contain the Fox-Wright p Ψ q function. Some two-sided exponential bounding inequalities are then obtained for a class of Fox-Wright p Ψ q functions, thereby generalizing certain results of Luke. Finally, by means of the integral expressions obtained here, a number of two-sided exponential bounding inequalities are given for the aforementioned series.