On a New Subclass of Bi-Univalent Analytic Functions Characterized by (P, Q)-Lucas Polynomial Coefficients via Sălăgean Differential Operator

Akgül, ARZU

On a New Subclass of Bi-Univalent Analytic Functions Characterized by (P, Q)-Lucas Polynomial Coefficients via Sălăgean Differential Operator

in: Operators, Inequalities and Approximation Theory and Applications, Binod Chandra Tripathy,Hemen Dutta,Susanta Kumar Paikray,Bidu Bhusan Jena, Editor, Springer Nature, Singapore, pp.159-182, 2024

Publication Type: Book Chapter / Chapter Research Book
Publication Date: 2024
Publisher: Springer Nature
City: Singapore
Page Numbers: pp.159-182
Editors: Binod Chandra Tripathy,Hemen Dutta,Susanta Kumar Paikray,Bidu Bhusan Jena, Editor
Kocaeli University Affiliated: Yes

Abstract

In this study, by using Lucas polynomials, subordination, and S˘al˘agean differential operator, we investigate the classscript upper Q Subscript normal Sigma Baseline left parenthesis m comma n semicolon Theta right parenthesisQE(m, n; O) of bi-univalent functions. Also we examineleft parenthesis script upper P comma Q right (P,Q)-Lucas polynomial coefficient estimates and Fekete–Szegö inequalities for functions belongingscript upper Q Subscript normal Sigma Baseline left parenthesis m comma n semicolon Theta right parenthesisQE(m, n; O).