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Families of analytic functions associated with the wright generalized hypergeometric function. (English) Zbl 1058.30014

Summary: By introducing a new class of analytic functions with negative coefficients which involves the Wright’s generalized hypergeometric function, we investigate the coefficient bounds, distortion theorems, extreme points and radii of convexity and starlikeness for this class of functions.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
26A33 Fractional derivatives and integrals
33C20 Generalized hypergeometric series, \({}_pF_q\)
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