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

Dziok, Jacek; Raina, R. K.

Demonstr. Math. 37, No. 3, 533-542 (2004).

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, \({}_pF_q\)