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Subclass of Analytic Functions Related with Pascal Distribution Series

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

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, 2022. "Subclass of Analytic Functions Related with Pascal Distribution Series," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:8355285
    DOI: 10.1155/2022/8355285
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    References listed on IDEAS

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    1. Saurabh Porwal, 2014. "An Application of a Poisson Distribution Series on Certain Analytic Functions," Journal of Complex Analysis, Hindawi, vol. 2014, pages 1-3, February.
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