On a linear combination of classes of harmonic \(p\)-valent functions defined by certain modified operator. (English) Zbl 1337.31005

Seoudy, T.

Bull. Iran. Math. Soc. 40, No. 6, 1539-1551 (2014).

Summary: In this paper we obtain coefficient characterization, extreme points and distortion bounds for the classes of harmonic \(p\)-valent functions defined by certain modified operator. Some of our results improve and generalize previously known results.

MSC:

31A05	Harmonic, subharmonic, superharmonic functions in two dimensions
30C45	Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

Keywords:

harmonic functions; extreme points; distortion bounds