On a subclass of harmonic functions associated with Wright’s generalized hypergeometric functions. (English) Zbl 1178.30014

Murugusundaramoorthy, G.; Raina, R. K.

Hacet. J. Math. Stat. 38, No. 2, 129-136 (2009).

Summary: Wright’s generalized hypergeometric function is used here to introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc. Among the results presented in this paper are coefficient bounds, distortions inequalities, covering properties, extreme points, and certain inclusion results for the generalized class of functions defined here.

MSC:

30C45	Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C50	Coefficient problems for univalent and multivalent functions of one complex variable

Keywords:

harmonic univalent function; Wright’s generalized hypergeometric function