First-order differential subordinations associated with Carathéodory functions

Inhwa Kim; Young Jae Sim; Nak Eun Cho; Inhwa Kim; Young Jae Sim; Nak Eun Cho

doi:10.3934/math.2024264

AIMS Mathematics

2024, Volume 9, Issue 3: 5466-5479. doi: 10.3934/math.2024264

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First-order differential subordinations associated with Carathéodory functions

1.
Anheuser-Bush School of Business, Harris-Stowe State University, St. Louis, MO 63103, USA
2.
Department of Artificial Intelligence and Mathematics, Kyungsung University, Busan 48434, Korea
3.
Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea

Received: 13 November 2023 Revised: 08 January 2024 Accepted: 09 January 2024 Published: 29 January 2024
MSC : 30C45, 30C80

In the present paper, we investigated some conditions to be in the class of Carathéodory functions by using the concept of the first-order differential subordinations. Moreover, various interesting special cases were considered in the geometric function theory as applications of main results presented here.
- differential subordination,
- Carathéodory function,
- univalent function,
- starlike function of order alpha,
- strongly starlike function
Citation: Inhwa Kim, Young Jae Sim, Nak Eun Cho. First-order differential subordinations associated with Carathéodory functions[J]. AIMS Mathematics, 2024, 9(3): 5466-5479. doi: 10.3934/math.2024264

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Abstract

In the present paper, we investigated some conditions to be in the class of Carathéodory functions by using the concept of the first-order differential subordinations. Moreover, various interesting special cases were considered in the geometric function theory as applications of main results presented here.

References

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