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Subclass of Analytic Functions Related with Pascal Distribution Series

Author

Listed:
  • Amnah E. Shammaky
  • Basem Aref Frasin
  • Tamer M. Seoudy
  • Ji Gao

Abstract

The prime purpose of this article is to derive a necessary and sufficient condition for a linear operator associated with the Pascal distribution series to be in the class TSμ,σ,δ of analytic functions. Moreover, inclusion relation and an integral operator linked to the Pascal distribution series is considered. We have also provided some results as corollaries of our theorems.

Suggested Citation

  • Amnah E. Shammaky & Basem Aref Frasin & Tamer M. Seoudy & Ji Gao, 2022. "Subclass of Analytic Functions Related with Pascal Distribution Series," Journal of Mathematics, Hindawi, vol. 2022, pages 1-5, March.
    • Handle: RePEc:hin:jjmath:8355285
    DOI: 10.1155/2022/8355285
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    Cited by:

    1. Abdullah Alsoboh & Ala Amourah & Maslina Darus & Rami Issa Al Sharefeen, 2023. "Applications of Neutrosophic q -Poisson distribution Series for Subclass of Analytic Functions and Bi-Univalent Functions," Mathematics, MDPI, vol. 11(4), pages 1-10, February.
    2. Tariq Al-Hawary & Ibtisam Aldawish & Basem Aref Frasin & Osama Alkam & Feras Yousef, 2022. "Necessary and Sufficient Conditions for Normalized Wright Functions to Be in Certain Classes of Analytic Functions," Mathematics, MDPI, vol. 10(24), pages 1-11, December.
    3. Basem Aref Frasin & Luminiţa-Ioana Cotîrlă, 2023. "On Miller–Ross-Type Poisson Distribution Series," Mathematics, MDPI, vol. 11(18), pages 1-10, September.

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