Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

Isra Al-shbeil, Jianhua Gong, Shahid Khan, Nazar Khan, Ajmal Khan, Mohammad Faisal Khan, Anjali Goswami

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator. For this class, we investigate initial coefficient estimates, Hankel determinants, Toeplitz matrices, and Fekete-Szegö problem. Moreover, we consider the q-Bernardi integral operator to discuss some applications in the form of some results.

Original languageEnglish
Article number658
JournalFractal and Fractional
Volume6
Issue number11
DOIs
Publication statusPublished - Nov 2022

Keywords

  • Hankel determinants
  • Toeplitz matrices
  • analytic functions
  • q-derivative operator
  • q-starlike functions
  • quantum calculus
  • salagean q-differential operator

ASJC Scopus subject areas

  • Analysis
  • Statistical and Nonlinear Physics
  • Statistics and Probability

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