Title
Integral expressions for Mathieu-type series whose terms contain Fox’s H-function
Abstract
Closed integral form expressions are derived for the Mathieu-type a-series and for the associated alternating series whose terms contain Fox’s H-function. In the final section, two similar results on Mathieu-type series with the Fox–Wright Psi-function Ψqp and the generalized hypergeometric function Fqp which can be expressed in terms of Fox’s H-functions are deduced respectively.
Year
DOI
Venue
2007
10.1016/j.aml.2006.08.008
Applied Mathematics Letters
Keywords
Field
DocType
Dirichlet series,Fox’s H-function,Fox–Wright Ψ-function,Hypergeometric Fqp-function,Integral representation of series,Laplace integral representation of Dirichlet series,Mathieu-type a-series and alternating a-series,Meijer G-function,Mellin–Barnes-type integral
Hypergeometric function,Meijer G-function,Basic hypergeometric series,Mathematical analysis,Dirichlet series,Alternating series,Generalized hypergeometric function,Wright Omega function,Generalized function,Mathematics
Journal
Volume
Issue
ISSN
20
7
0893-9659
Citations 
PageRank 
References 
2
0.85
1
Authors
1
Name
Order
Citations
PageRank
Tibor Pogány13213.73