On a New Class of Concave Bi-Univalent Functions Associated with Bounded Boundary Rotation

Prathviraj Sharma, Srikandan Sivasubramanian (), Gangadharan Murugusundaramoorthy and Nak Eun Cho ()
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Prathviraj Sharma: Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India
Srikandan Sivasubramanian: Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India
Gangadharan Murugusundaramoorthy: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamilnadu, India
Nak Eun Cho: Department of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of Korea

Mathematics, 2025, vol. 13, issue 3, 1-12

Abstract: In this research article, we introduce a new subclass of concave bi-univalent functions associated with bounded boundary rotation defined on an open unit disk. For this new class, we make an attempt to find the first two initial coefficient bounds. In addition, we investigate the very famous Fekete–Szegö inequality for functions belonging to this new subclass of concave bi-univalent functions related to bounded boundary rotation. For some particular choices of parameters, we derive the earlier estimates on the coefficient bounds, which are stated at the end.

Keywords: holomorphic; univalent; concave univalent; bounded boundary rotation; coefficient estimates (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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