Coefficient Estimates and Fekete–Szegö Inequalities for a Class of Pseudo-Starlike P Valent Functions Associated with Chebyshev Polynomials
Year: 2026
Type: article
Abstract: This study introduces and investigates a new subclass of p-valent analytic functions in the open unit disk ????, combining λ-pseudo-starlikeness with subordination involving Chebyshev polynomials. The analysis derives sharp upper bounds for the initial Taylor–Maclaurin coefficients |aₚ₊₁| and |aₚ₊₂|. It also establishes a Fekete–Szegö inequality for the functional |aₚ₊₂ − μaₚ₊₁²|. Several consequences and special cases of the main results are discussed, providing further coefficient and functional estimates for the proposed class.
Authors: Ismaila Omeiza Ibrahim, A A Lawal, Zuwaira B
Institutions: Abubakar Tafawa Balewa University, University of Maiduguri
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7225449732