COEFFICIENT ESTIMATES FOR $\rho$-FOLD SYMMETRIC BI-UNIVALENT MA-MINDA TYPE FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 50

Volume : 20 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2024.2002.12
Author :
Hamid Shamsan (Department of Mathematics, Science College, Sana a University, Sana a - 2124, YEMEN)
Renuka Devi K. (Department of Mathematics, Government first grade College, University of Mysore, Mysore - 570005, INDIA)
Abdulhafid Modabish (Department of Mathematics, Science College, Sana a University, Sana a - 2124, YEMEN)

Abstract

In the present investigation, we consider new subclasses of $\Sigma_\rho$ consisting of regular and $\rho$-fold symmetric bi-univalent functions in the open unit disk. We obtain coefficient bounds for $|a_{\rho+1}|$ and $|a_{2\rho+3}|$ of the functions from these new subclasses.

Keywords and Phrases

Bi-univalent functions, $\rho$-Fold symmetric function, $\rho$-Fold symmetric bi-univalent function.

A.M.S. subject classification

30C45.

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