On a subclass of starlike functions associated with a vertical strip domain

Yong Sun, Zhi Gang Wang*, Antti Rasila, Janusz Sokół

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class. Furthermore, we consider radius problems and inclusion relations involving certain classes of strongly starlike functions, parabolic starlike functions, and other types of starlike functions. The results are essential improvements of the corresponding results obtained by Kargar et al., and the derivations are similar to those used earlier by Sun et al. and Kwon et al.

Original languageEnglish
Article number35
JournalJournal of Inequalities and Applications
Volume2019
DOIs
StatePublished - 2019

Keywords

  • Analytic function
  • Differential subordination
  • Starlike function
  • Univalent function

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