Abstract
In the present paper, we determine necessary and sufficient conditions for zF(a, b; c; z) and $$z(2-F(a,b;c;z))$$ where $$F(a,b;c;z)=\sum \nolimits _{n=0}^{\infty }[(a)_{n}(b)_{n}/(c)_{n}(1)_{n}]z^{n}$$ to be in a certain class of analytic functions with negative coefficients. Furthermore, we consider an integral operator related to hypergeometric functions.
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