On third hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings

Yong Sun*, Zhi Gang Wang, Antti Rasila

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper, we obtain the upper bounds to the third Hankel determinants for convex functions of order α and bounded turning functions of order α. Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained. Connections of the results presented here to those that can be found in the literature are also discussed.

Original languageEnglish
Pages (from-to)1695-1705
Number of pages11
JournalHacettepe Journal of Mathematics and Statistics
Volume48
Issue number6
DOIs
StatePublished - 2019
Externally publishedYes

Keywords

  • Bounded turning function
  • Close-to-convex function
  • Convex function
  • Hankel determinant
  • Harmonic mapping
  • Starlike function
  • Univalent function

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