Title of article
Hypergeometric functions as generalized Stieltjes transforms
Author/Authors
Karp، نويسنده , , D. and Prilepkina، نويسنده , , E.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
12
From page
348
To page
359
Abstract
In this paper, we apply generalized Stieltjes transform representation to study the generalized hypergeometric function. Among the results thus proved are new integral representations, inequalities, properties of the Padé table and the properties of the generalized hypergeometric function as a conformal map.
Keywords
Moment problem , Generalized Stieltjes function , Hypergeometric inequality , generalized hypergeometric function , Padé approximation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562862
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