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Zbl 1139.30308
Swaminathan, A.
Sufficiency for hypergeometric transforms to be associated with conic regions.
(English)
[J] Math. Comput. Modelling 44, No. 3-4, 276-286 (2006). ISSN 0895-7177

Summary: For a certain integral operator acting on the normalized Gaussian hypergeometric function $zF(a,b;c;z)$ given by $$F(a,b;c;z)=\sum^\infty_{n=0}\frac{(a,n)(b,n)}{(c,n)(1,n)}\ z^n,\quad |z|<1,$$ the author aims at finding conditions on $a,b$ and $c$ such that the operator maps certain subclasses of analytic functions into some other classes of functions that have nice geometric properties related to certain conic regions.
MSC 2000:
*30C45 Special classes of univalent and multivalent functions

Keywords: univalent; convex; starlike; Gaussian hypergeometric functions; integral transforms

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