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An Application of a Poisson Distribution Series on Certain Analytic Functions

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  • Saurabh Porwal

Abstract

The purpose of the present paper is to introduce a Poisson distribution series and obtain necessary and sufficient conditions for this series belonging to the classes and . We also consider an integral operator related to this series.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnljca:984135
    DOI: 10.1155/2014/984135
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    Cited by:

    1. Malathi, V. & Vijaya, K., 2022. "Subclass of analytic functions involving Erdély–Kober type integral operator in conic regions and applications to neutrosophic Poisson distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    2. Sheza M. El-Deeb & Teodor Bulboacă & Bassant M. El-Matary, 2020. "Maclaurin Coefficient Estimates of Bi-Univalent Functions Connected with the q-Derivative," Mathematics, MDPI, vol. 8(3), pages 1-14, March.
    3. Basem Aref Frasin & Luminiţa-Ioana Cotîrlă, 2023. "On Miller–Ross-Type Poisson Distribution Series," Mathematics, MDPI, vol. 11(18), pages 1-10, September.
    4. Tariq Al-Hawary & Basem Frasin & Ibtisam Aldawish, 2024. "Applications of Generalized Hypergeometric Distribution on Comprehensive Families of Analytic Functions," Mathematics, MDPI, vol. 12(18), pages 1-11, September.

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