Journal of Mathematics (Jan 2021)

A Study of New Class of Star-Like Functions Associated by Symmetric p,q-Calculus

  • Khalid Akbar,
  • Rashid Murtaza,
  • null Adnan,
  • Umar Khan,
  • Ilyas Khan,
  • Md. Fayz-Al-Asad

DOI
https://doi.org/10.1155/2021/5304110
Journal volume & issue
Vol. 2021

Abstract

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As of late quantum calculus is broadly utilized in different parts of mathematics. Uniquely, the hypothesis of univalent functions can be newly portrayed by utilizing q-calculus. In this paper, we utilize our recently presented symmetric p,q-number m˜ p,q to characterize new symmetric p,q-derivative D p,q of analytic function f in the open unit disk U. Utilizing D p,q, we introduce new class of analytic star-like functions and examine some fascinating results.