# Sufficiency for Gaussian hypergeometric functions to be uniformly convex

- Authors
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- International Journal of Mathematics and Mathematical Sciences
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- Disciplines

## Abstract

Let F(a,b;c;z) be the classical hypergeometric function and f be a normalized analytic functions defined on the unit disk đ°. Let an operator Ia,b;c(f) be defined by [Ia,b;c(f)](z)=zF(a,b;c;z)*f(z). In this paper the authors identify two subfamilies of analytic functions â±1 and â±2 and obtain conditions on the parameters a,b,c such that fââ±1 implies Ia,b;c(f)ââ±2.

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