Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions

Journal of the Egyptian Mathematical Society

M.K. Aouf¹  A.O. Mostafa¹  H.M. Zayed² 

[1] Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt;Department of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, Egypt;

关键词: Univalent;    Starlike;    Convex;    Uniformly starlike;    Uniformly convex;    Hypergeometric function;   

DOI  :  10.1016/j.joems.2015.01.002

来源: DOAJ

【 摘 要 】

The purpose of this paper is to introduce necessary and sufficient condition of (Gaussian) hypergeometric functions to be in a subclass of uniformly starlike and uniformly convex functions. Operators related to hypergeometric functions are also considered. Some of our results correct previously known results.

【 授权许可】

Unknown