Certain Coefficient Problems for q-Starlike Functions Associated with q-Analogue of Sine Function

Yusra Taj, Saira Zainab, Qin Xin, Ferdous M. O. Tawfiq, Mohsan Raza, Sarfraz Nawaz Malik

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
36 Downloads (Pure)

Abstract

This study introduces a subclass S∗qs of starlike functions associated with the q-analogue of
the sine function defined in symmetric unit disk. This article comprises the investigation of sharp
coefficient bounds, and the upper bound of the third-order Hankel determinant for this class. It also
includes the findings of Zalcman and generalized Zalcman conjectures for functions of this class.
Original languageEnglish
Article number2200
Number of pages15
JournalSymmetry
Volume2022
Issue number14
Publication statusPublished - 19 Oct 2022

Keywords

  • analytic functions
  • q-starlike functions
  • univalent function
  • Hankel determinant
  • symmetric matrix
  • Zalcman inequalities
  • q-derivative operator

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