Work

Bi-univalent functions associated with involution numbers based on Sălăgean-Erdély-Kober operator

Year: 2025

Type: article

Abstract: In this paper, we propose two new subclasses of bi-univalent functions defined in the open unit disk and denoted by Ω, and relate them to the concept of generalized telephone numbers.These subclasses utilize the Sȃlȃgean-Erdély-Kober operator.Furthermore, we examine the initial Taylor-Maclaurin coefficients |a 2 | and |a 3 | and derived Fekete-Szegö inequalities for the functions that belongs to these new subclasses.Additionally, we introduce several other new subclasses of Ω based on Sȃlȃgean-Erdély-Kober operator, which have not been previously explored in connection with telephone numbers.Some corollaries are also presented.

Source: Journal of Nonlinear Functional Analysis

DOI: 10.23952/jnfa.2025.13

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4411500511

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