CERTAIN PROPERTIES OF A NEW SUBCLASS OF ANALYTIC AND p-VALENTLY CLOSE-TO-CONVEX FUNCTIONS

Bulut S.

HONAM MATHEMATICAL JOURNAL, vol.39, pp.233-245, 2017 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 39
  • Publication Date: 2017
  • Doi Number: 10.5831/hmj.2017.39.2.233
  • Journal Name: HONAM MATHEMATICAL JOURNAL
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.233-245
  • Kocaeli University Affiliated: Yes

Abstract

In the present paper we introduce and investigate an interesting subclass K-s((k)) (gamma,p) of analytic and p-valently close-to-convex functions in the open unit disk U. For functions belonging to this class, we derive several properties as the inclusion relationships and distortion theorems. The various results presented here would generalize many known recent results.