Goodman-Rønning-type harmonic univalent functions based on Dziok-Srivastava operator. (English) Zbl 1230.30006

Al-Khal, R. A.

Appl. Math. Sci., Ruse 5, No. 9-12, 573-584 (2011).

Summary: A class of Goodman-Rønning-type harmonic univalent functions using the Dziok-Srivastava operator is defined and studied. Coefficient conditions, distortion bounds, convolution, sufficient conditions using convolution, extreme points, and closure properties are given.

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 function; univalent function; Dziok-Srivastava operator; distortion bounds; convolution; closure properties