Notes on harmonic functions for which the second dilatation is α - Spiral

Melike Aydogan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this study, we consider, f = h + ḡ harmonic functions in the unit disc D. By applying S. S. Miller and P. M. Mocanu result, we obtain a new subclass of harmonic functions, such as S*HPST (α; β) We introduce this new class as defined in the following form, (Formula Presented.). We also use subordination principle, study on distortion theorems, some numerical examples and coefficient inequalities of this class.

Original languageEnglish
Pages (from-to)1111-1121
Number of pages11
JournalJournal of Computational Analysis and Applications
Volume18
Issue number6
Publication statusPublished - Jun 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015 EUDOXUS PRESS, LLC.

Keywords

  • Coefficient inequality
  • Distortion theorem
  • Growth theorem
  • Harmonic functions

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