The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain

Isra Al-Shbeil, Jianhua Gong, Samrat Ray, Shahid Khan, Nazar Khan, Hala Alaqad

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory. In this study, we conduct a comprehensive investigation to identify the uses of the Sălăgean q-differential operator for meromorphic multivalent functions. Many features of functions that belong to geometrically defined classes have been extensively studied using differential operators based on q-calculus operator theory. In this research, we extended the idea of the q-analogous of the Sălăgean differential operator for meromorphic multivalent functions using the fundamental ideas of q-calculus. With the help of this operator, we extend the family of Janowski functions by adding two new subclasses of meromorphic q-starlike and meromorphic multivalent q-starlike functions. We discover significant findings for these new classes, including the radius of starlikeness, partial sums, distortion theorems, and coefficient estimates.

Original languageEnglish
Article number438
JournalFractal and Fractional
Volume7
Issue number6
DOIs
Publication statusPublished - Jun 2023

Keywords

  • Janowski functions
  • Sălăgean q-differential operator
  • meromorphic multivalent q-starlike functions
  • q-derivative operator
  • quantum (or q-) calculus

ASJC Scopus subject areas

  • Analysis
  • Statistical and Nonlinear Physics
  • Statistics and Probability

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