1. Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators.
- Author
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Amini, Ebrahim, Al-Omari, Shrideh, and Suthar, Dayalal
- Subjects
SYMMETRIC functions ,POISSON distribution ,STAR-like functions ,CONVEX functions ,STOCHASTIC convergence - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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