Open AccessSome constraints of hypergeometric functions to belong to certain subclasses of analytic functions
Author(s) -
M. K. Aouf,
A. O. Mostafa,
Hanaa M. Zayed
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2015.12.001
Subject(s) - mathematics , hypergeometric function , hypergeometric distribution , generalized hypergeometric function , hypergeometric function of a matrix argument , basic hypergeometric series , hypergeometric identity , barnes integral , pure mathematics , confluent hypergeometric function , bilateral hypergeometric series , algebra over a field
The purpose of this paper is to introduce sufficient conditions for (Gaussian) hypergeometric functions to be in various subclasses of analytic functions. Also, we investigate several mapping properties involving these subclasses