Coefficient Inequalities for Multivalent Janowski Type q-Starlike Functions Involving Certain Conic Domains

Muhammad Sabil Ur Rehman, Qazi Zahoor Ahmad, Isra Al-shbeil, Sarfraz Ahmad, Ajmal Khan, Bilal Khan, Jianhua Gong

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

In the current work, by using the familiar q-calculus, first, we study certain generalized conic-type regions. We then introduce and study a subclass of the multivalent q-starlike functions that map the open unit disk into the generalized conic domain. Next, we study potentially effective outcomes such as sufficient restrictions and the Fekete–Szegö type inequalities. We attain lower bounds for the ratio of a good few functions related to this lately established class and sequences of the partial sums. Furthermore, we acquire a number of attributes of the corresponding class of q-starlike functions having negative Taylor–Maclaurin coefficients, including distortion theorems. Moreover, various important corollaries are carried out. The new explorations appear to be in line with a good few prior commissions and the current area of our recent investigation.

Original languageEnglish
Article number494
JournalAxioms
Volume11
Issue number10
DOIs
Publication statusPublished - Oct 2022

Keywords

  • analytic functions
  • differential subordination
  • multivalent (p-valent) functions
  • q-derivative (q-difference) operator

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Mathematical Physics
  • Logic
  • Geometry and Topology

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