Generalized Salagean-type harmonic univalent functions

Yaşar E., Yalçın Tokgöz S.

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, vol.57, no.3, pp.395-403, 2012 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 3
  • Publication Date: 2012
  • Journal Name: STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.395-403
  • Keywords: Harmonic, univalent, starlike, convex, modified Salagean operator
  • Bursa Uludag University Affiliated: Yes

Abstract

The main purpose of this paper is to introduce a generalization of modified Salagean operator for harmonic univalent functions. We define a new subclass of complex-valued harmonic univalent functions by using this operator, and we investigate necessary and sufficient coefficient conditions, distortion bounds, extreme points and convex combination for the above class of harmonic univalent functions.