Coefficient Estimates and Fekete–Szegö Inequalities for a Class of Pseudo-Starlike P Valent Functions Associated with Chebyshev Polynomials

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.