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

Authors:
T. K. Pogány;H. M. Srivastava
Affiliations:
Faculty of Maritime Studies, University of Rijeka, Studentska 2, HR-51000 Rijeka, Croatia;Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 2
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Abstract

Closed-form integral expressions are derived here for a family of convergent Mathieu-type series and its alternating variant when their terms contain the Fox-Wright "p@J"q function. Some two-sided exponential bounding inequalities are then obtained for a class of Fox-Wright "p@J"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.