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Research Article

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

P
P. Nandini Department of Mathematics, JSS Academy of Technical Education, Srinivaspura Bengaluru - 560060, Karnataka, INDIA
L
L. Dileep Department of Mathematics, Vidyavardhaka College of Engineering, Mysuru - 570002, Karnataka, INDIA
S
S. Latha Department of Mathematics, Yuvaraja s College, Mysore - 570005, Karnataka, INDIA
Volume 21, Issue 1 Pages 113-126 April 30, 2025 178 downloads
Article overview

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 functionsFekete-Szeg$\ddot{o}$ inequalityFibonacci numbersShell-like curve and $ (pq)$-Salagean derivative.

AMS Subject Classification

30C45, 30C50.

Reference information

How to Cite

P. Nandini, L. Dileep, S. Latha (2025). BOUNDS FOR A NEW SUBCLASS OF BI-UNIVALENT FUNCTIONS RELATED TO SHELL-LIKE CURVES\\ ASSOCIATED WITH THE $(p,q)$-SALAGEAN DERIVATIVE. South East Asian Journal of Mathematics and Mathematical Sciences, 21(1), 113-126.
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