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Research Article | Open Access

On a class of analytic functions closely related to starlike functions with respect to a boundary point

Kamaraj Dhurai1, Nak Eun Cho2( ), Srikandan Sivasubramanian3
Department of Mathematics, Government College of Engineering Srirangam, Trichy 620 012, Tamilnadu, India
Department of Applied Mathematics, Pukyong National University, Busan 48513, Republic of Korea
Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India
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Abstract

In this article, we introduce a new class of analytic functions in the open unit disc that are closely related to functions that are starlike with respect to a boundary point. For this new class of functions, we obtain representation theorem, interesting coefficient estimates and also certain differential subordination implications involving this new class.

Keywords

analyticunivalentstarlike function with respect to a boundary pointcoefficient estimatesdifferential subordination
CLC number: 30C45, 30C80, 33C50

References

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 23146-23163
DOI: 10.3934/math.20231177

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Cite this article:
Dhurai K, Cho NE, Sivasubramanian S. On a class of analytic functions closely related to starlike functions with respect to a boundary point. AIMS Mathematics, 2023, 8(10): 23146-23163. https://doi.org/10.3934/math.20231177

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Received: 27 March 2023
Revised: 29 June 2023
Accepted: 05 July 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)