文章基本信息

标题：Sufficiency for Gaussian hypergeometric functions to be uniformly convex
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作者：Yong Chan Kim ; S. Ponnusamy
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1999
卷号：22
期号：4
页码：765-773
DOI：10.1155/S0161171299227652
出版社：Hindawi Publishing Corporation
摘要：Let F ( a , b ; c ; z ) be the classical hypergeometric function and f be a normalized analytic functions defined on the unit disk 𝒰 . Let an operator I a , b ; c ( f ) be defined by [ I a , b ; c ( f ) ] ( z ) = z F ( a , b ; c ; z ) * f ( z ) . In this paper the authors identify two subfamilies of analytic functions ℱ 1 and ℱ 2 and obtain conditions on the parameters a , b , c such that f ∈ ℱ 1 implies I a , b ; c ( f ) ∈ ℱ 2 .