Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators

Ebrahim Amini, Shrideh Al-Omari, Dayalal Suthar and Ding-Xuan Zhou

Journal of Mathematics, 2024, vol. 2024, 1-15

Abstract: In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q-symmetric starlike and q-symmetric convex functions of order η are examined. Then, by utilizing the Poisson distribution and the concept of the q-analogue Salagean integral operator, the p-valent convergence polynomial was introduced. Furthermore, a number of subclasses of analytic symmetric p-valent functions linked to novel polynomials are also deduced. After that, specific coefficient constraints are determined and symmetric δ,q-neighborhoods for p-valent functions are defined. In relation to symmetric δ,q-neighborhoods of q-symmetric p-valent functions formed by Poisson distributions, this paper presents new inclusion results. In addition, a detailed discussion of certain q-symmetric inequalities of analytic functions with negative coefficients is also provided.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3697215

DOI: 10.1155/2024/3697215

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