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    ARTICLE

    Properties of Certain Subclasses of Analytic Functions Involving q-Poisson Distribution

    Bilal Khan1,*, Zhi-Guo Liu1, Nazar Khan2, Aftab Hussain3, Nasir Khan4, Muhammad Tahir2

    CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.3, pp. 1465-1477, 2022, DOI:10.32604/cmes.2022.016940

    Abstract By using the basic (or q)-Calculus many subclasses of analytic and univalent functions have been generalized and studied from different viewpoints and perspectives. In this paper, we aim to define certain new subclasses of an analytic function. We then give necessary and sufficient conditions for each of the defined function classes. We also study necessary and sufficient conditions for a function whose coefficients are probabilities of q-Poisson distribution. To validate our results, some known consequences are also given in the form of Remarks and Corollaries. More >

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