Properties of q-Symmetric Starlike Functions of Janowski Type

Afis Saliu, Isra Al-Shbeil, Jianhua Gong, Sarfraz Nawaz Malik, Najla Aloraini

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

The word “symmetry” is a Greek word that originated from “symmetria”. It means an agreement in dimensions, due proportion, and arrangement; however, in complex analysis, it means objects remaining invariant under some transformation. This idea has now been recently used in geometric function theory to modify the earlier classical q-derivative introduced by Ismail et al. due to its better convergence properties. Consequently, we introduce a new class of analytic functions by using the notion of q-symmetric derivative. The investigation in this paper obtains a number of the latest important results in q-theory, including coefficient inequalities and convolution characterization of q-symmetric starlike functions related to Janowski mappings.

Original languageEnglish
Article number1907
JournalSymmetry
Volume14
Issue number9
DOIs
Publication statusPublished - Sept 2022

Keywords

  • Janowski function
  • analytic functions
  • q-symmetric derivative
  • subordination
  • univalent functions

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • General Mathematics
  • Physics and Astronomy (miscellaneous)

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