Notes on starlike log-harmonic functions of order α

Melike Aydoǧan*, Emel Yavuz Duman, Shigeyoshi Owa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)19-29
Number of pages11
JournalInternational Journal of Mathematical Analysis
Volume7
Issue number1-4
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • Analytic
  • Coefficient inequality
  • Log-harmonic
  • Starlike

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