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

Author

Listed:
  • Ebrahim Amini
  • Shrideh Al-Omari
  • Dayalal Suthar
  • Ding-Xuan Zhou

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.

Suggested Citation

  • Ebrahim Amini & Shrideh Al-Omari & Dayalal Suthar & Ding-Xuan Zhou, 2024. "Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators," Journal of Mathematics, Hindawi, vol. 2024, pages 1-15, May.
    • Handle: RePEc:hin:jjmath:3697215
    DOI: 10.1155/2024/3697215
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