BOUNDS FOR A NEW SUBCLASS OF BI-UNIVALENT FUNCTIONS RELATED TO SHELL-LIKE CURVES\\ ASSOCIATED WITH THE $(p,q)$-SALAGEAN DERIVATIVE

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 38

Volume : 21 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2025.2101.10
Author :
P. Nandini (Department of Mathematics, JSS Academy of Technical Education, Srinivaspura Bengaluru - 560060, Karnataka, INDIA)
L. Dileep (Department of Mathematics, Vidyavardhaka College of Engineering, Mysuru - 570002, Karnataka, INDIA)
S. Latha (Department of Mathematics, Yuvaraja s College, Mysore - 570005, Karnataka, INDIA)

Abstract

This paper aims to investigate a new subclass of bi-univalent functions defined by the $(p,q)$-Salagean derivative, associated with shell-like curves connected with Fibonacci numbers. It also examines the coefficient estimates and Fekete-Szeg$\ddot{o}$ inequalities for functions in this class.

Keywords and Phrases

Bi-univalent functions, Fekete-Szeg$\ddot{o}$ inequality, Fibonacci numbers, Shell-like curve and $ (p,q)$-Salagean derivative.

A.M.S. subject classification

30C45, 30C50.

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