Mittag-Leffler Poisson Distribution Series and Their Application to Univalent Functions

2024/07/31 by K. Marimuthu, Marimuthu, K., Ananda Jeeva +3
Mathematics · #FOS: Mathematics #Fractional Differential Equations Solutions #General Mathematics (math.GM) #Mathematical functions and polynomials #Statistical Distribution Estimation and Applications

paper · pdf · doi:10.48550/arxiv.2408.01466

openalex publication_date 2024/07/31 · openalex created_date 2025/01/17 · openalex updated_date 2026/07/28

Abstract

In this study, we establish a significant connection between certain subclasses of complex order univalent functions and the Mittag-Leffler-type Poisson distribution series. We provide criteria for these series to belong to the specific subclasses. The primary goal of this investigation is to derive necessary and sufficient conditions for the Mittag-Leffler-type Poisson distribution series P(p,u,v)(z) to be included in the classes S(δ,η,τ) and R(δ,η,τ). These findings enhance our understanding of the structural properties of univalent functions and extend the applicability of Mittag-Leffler-type distributions in complex analysis.

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