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

Kamaraj Dhurai; Nak Eun Cho; Srikandan Sivasubramanian; Kamaraj Dhurai; Nak Eun Cho; Srikandan Sivasubramanian

doi:10.3934/math.20231177

AIMS Mathematics

2023, Volume 8, Issue 10: 23146-23163. doi: 10.3934/math.20231177

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

1.
Department of Mathematics, Government College of Engineering Srirangam, Trichy 620 012, Tamilnadu, India
2.
Department of Applied Mathematics, Pukyong National University, Busan 48513, Republic of Korea
3.
Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India

Received: 27 March 2023 Revised: 29 June 2023 Accepted: 05 July 2023 Published: 20 July 2023
MSC : 30C45, 30C80, 33C50

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.
- analytic,
- univalent,
- starlike function with respect to a boundary point,
- coefficient estimates,
- differential subordination
Citation: Kamaraj Dhurai, Nak Eun Cho, Srikandan Sivasubramanian. On a class of analytic functions closely related to starlike functions with respect to a boundary point[J]. AIMS Mathematics, 2023, 8(10): 23146-23163. doi: 10.3934/math.20231177

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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.

References

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