Notes on a New Class of Univalent Starlike Functions with Respect to a Boundary Point

This article presents a newly defined subclass of univalent functions that are starlike with respect to a boundary point, closely related to the Robertson class and specifically associated with a vertical strip domain. Additionally, this study derives generalized coefficient estimates for these classes, as well as for the Robertson class linked to the Nephroid domain and the Lemniscate of Bernoulli.

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Journal
Axioms
Published
2025-09-23
DOI
https://doi.org/10.3390/axioms14100720
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Notes on a New Class of Univalent Starlike Functions with Respect to a Boundary Point

S. Sivasubramanian, Kamaraj Dhurai, Ahmed S. Alghamdi
Axioms
Analytic and geometric function theory
article

Notes on a New Class of Univalent Starlike Functions with Respect to a Boundary Point

S. Sivasubramanian, Kamaraj Dhurai, Ahmed S. Alghamdi
article en

Abstract

This article presents a newly defined subclass of univalent functions that are starlike with respect to a boundary point, closely related to the Robertson class and specifically associated with a vertical strip domain. Additionally, this study derives generalized coefficient estimates for these classes, as well as for the Robertson class linked to the Nephroid domain and the Lemniscate of Bernoulli.

AxiomsVol. 14(10)
Government of Tamil Nadu (IN), Umm al-Qura University (SA), Anna University, Chennai (IN)
Openalex Percentile: Top 68%
Analytic and geometric function theory
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