Mittag-Leffler Poisson Distribution Series and Their Application to Univalent Functions
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...
Saved in:
Main Authors | , , |
---|---|
Format | Journal Article |
Language | English |
Published |
31.07.2024
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | 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 $\mathcal{P}(p,u,v)(z)$ to be included in the classes
$\mathcal{S}(\delta,\eta,\tau)$ and $\mathcal{R}(\delta,\eta,\tau)$. These
findings enhance our understanding of the structural properties of univalent
functions and extend the applicability of Mittag-Leffler-type distributions in
complex analysis. |
---|---|
DOI: | 10.48550/arxiv.2408.01466 |