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

Author

Listed:
  • Khalid Akbar
  • Rashid Murtaza
  • Adnan
  • Umar Khan
  • Ilyas Khan
  • Md. Fayz-Al-Asad
  • Om P. Ahuja

Abstract

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.

Suggested Citation

  • Khalid Akbar & Rashid Murtaza & Adnan & Umar Khan & Ilyas Khan & Md. Fayz-Al-Asad & Om P. Ahuja, 2021. "A Study of New Class of Star-Like Functions Associated by Symmetric p,q-Calculus," Journal of Mathematics, Hindawi, vol. 2021, pages 1-8, October.
    • Handle: RePEc:hin:jjmath:5304110
    DOI: 10.1155/2021/5304110
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