An investigation on a subclass of p-valently starlike functions in the unit disc

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Polatoǧlu Y., Bolcal M., Şen A., Yavuz Duman E.

Turkish Journal of Mathematics, vol.31, no.2, pp.221-228, 2007 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 2
  • Publication Date: 2007
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.221-228
  • Keywords: Coefficient inequality, Distortion theorem, Starlike and convex functions
  • Istanbul Kültür University Affiliated: Yes

Abstract

Let A_p denote the class of functions of the form f(z) = z p+ap-1zp+1+ap+2zp+2+ ⋯which are regular and p-valent in the open unit disc D = {z : |z| <1}. Let Mp(α) be the subclass of A_p consisting of functions f(z) which satisfy Re (zf′(z)/f(z)) < α, (z ε D) for some real α (α > 1). The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class Mp(α). © TÜBİTAK.