On the class of analytic functions defined by Robertson associated with nephroid domain

Kavitha Sivasubramanian

Abstract


The primary focus of this article is to explore a novel subclass, denoted as \(\mathscr{G}_{\mathcal{N}}\), of analytic functions. These functions exhibit starlike properties concerning a boundary point within a nephroid domain.  The author obtains representation theorems, establishes growth and distortion theorems, and investigates various implications related to differential subordination. In addition to the investigation of  coefficient estimates, the study also explores specific consequences of differential subordination.

Keywords


Univalent functions; Starlike functions of order $\gamma$; Starlike function with respect to a boundary point; Coefficient estimates

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2025.1.01

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