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On Miller–Ross-Type Poisson Distribution Series

Author

Listed:
  • Basem Aref Frasin

    (Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq 25113, Jordan)

  • Luminiţa-Ioana Cotîrlă

    (Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania)

Abstract

The objective of the current paper is to find the necessary and sufficient conditions for Miller–Ross-type Poisson distribution series to be in the classes S T * ( γ , β ) and K T ( γ , β ) of analytic functions with negative coefficients. Furthermore, we investigate several inclusion properties of the class Y σ ( V , W ) associated of the operator I α , c ε defined by this distribution. We also take into consideration an integral operator connected to series of Miller–Ross-type Poisson distributions. Special cases of the main results are also considered.

Suggested Citation

  • Basem Aref Frasin & Luminiţa-Ioana Cotîrlă, 2023. "On Miller–Ross-Type Poisson Distribution Series," Mathematics, MDPI, vol. 11(18), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3989-:d:1243525
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    References listed on IDEAS

    as
    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.
    2. 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.
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