Bounds of Coefficient Functional of Certain Subclasses of Analytic Functions Associated with Cardioid Domain

In the present paper with the aid of subordination, the authors introduce a new subclass of univalent functions namely; starlike functions with respect to symmetric points linked with cardioid domain defined by $S_{s,e}^{**} := \left\{ f \in \mathcal{S}: \frac{2zf^{\prime}(z)}{f(z)-f(-z)} \prec 1+ze^z=:p(z)\right\}$, where the function $p(z)$ maps unit disk $\mathbb{D}:=\{z \in \mathbb{C}: |z|

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Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2025-06-29
DOI
https://doi.org/10.47000/tjmcs.1588402
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
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article

Bounds of Coefficient Functional of Certain Subclasses of Analytic Functions Associated with Cardioid Domain

Trailokya Panigrahi, Eureka Pattnayak
Turkish Journal of Mathematics and Computer Science
Analytic and geometric function theory
article

Bounds of Coefficient Functional of Certain Subclasses of Analytic Functions Associated with Cardioid Domain

Trailokya Panigrahi, Eureka Pattnayak
article en

Abstract

In the present paper with the aid of subordination, the authors introduce a new subclass of univalent functions namely; starlike functions with respect to symmetric points linked with cardioid domain defined by $S_{s,e}^{**} := \left\{ f \in \mathcal{S}: \frac{2zf^{\prime}(z)}{f(z)-f(-z)} \prec 1+ze^z=:p(z)\right\}$, where the function $p(z)$ maps unit disk $\mathbb{D}:=\{z \in \mathbb{C}: |z|

Turkish Journal of Mathematics and Computer ScienceVol. 17(1)
Institute of Mathematics and Informatics (BG), Czech Academy of Sciences, Institute of Mathematics (CZ)
Openalex Percentile: Top 79%
Analytic and geometric function theory
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