The quotients of certainq-hypergeometric functions are presented asg-fractions which converge uniformly in the unit disc. These results lead to the existence of certainq-hypergeometric functions in the class of eitherq-convex functions,PCq, orq-starlike functionsPSq*.
In this article, we let PCq denote the class of q-convex functions. Certain analytic properties of the class PCq are studied. The maximum of the absolute value of the Fekete-Szegö functional is briey determined.
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