Title of article
Sufficient conditions for hypergeometric functions to be in a certain class of analytic functions
Author/Authors
A. Swaminathan ، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
6
From page
1578
To page
1583
Abstract
The author aims at finding certain conditions on the parameters a; b and c such that the
normalized Gaussian hypergeometric function zF .a; bI cI z/ given by
F .a; bI cI z/ D
1X
nD0
.a/n.b/n
.c/n.1/n
zn; jzj < 1;
is in a certain class of analytic functions. Various results for the particular values of these
parameters are deduced.
Keywords
convex , Starlike , Close-to-convex functions , Gaussian hypergeometric functions , Incomplete beta functions , Univalent
Journal title
Computers and Mathematics with Applications
Serial Year
2010
Journal title
Computers and Mathematics with Applications
Record number
921285
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