Notes on starlike log-harmonic functions of order α

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Aydoğan S. M., Yavuz Duman E., Owa S.

International Journal of Mathematical Analysis, vol.7, no.1-4, pp.19-29, 2013 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1-4
  • Publication Date: 2013
  • Journal Name: International Journal of Mathematical Analysis
  • Journal Indexes: Scopus
  • Page Numbers: pp.19-29
  • Keywords: Analytic, Coefficient inequality, Log-harmonic, Starlike
  • Istanbul Kültür University Affiliated: Yes

Abstract

For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(α) and G*LH(α) of S*LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object of the present paper is to discuss some coefficient inequalities for h(z) and g(z).Mathematics Subject Classification: Primary 30C55, Secondary 30C45.