New Subclasses of Analytic Functions with Respect to Symmetric and Conjugate Points Defined by Extended Saˇlaˇgean Derivative Operator

Abstract

In the present paper, the authors study certain subclasses of analytic p-valent functions f(z)^τ defined by T^∗ (A, B, ω, α, λ, τ, l) and T^c (A, B, ω, α, λ, τ, l) with respect to other points in the open unit disk D = {z : |z| < 1} . Bounds on the first two coeffcients |ap+1| and |ap+1| and their connections with the Fekete-Szego functional |ap+2 − µa2 p+1| were obtained while several other corollaries follow as simple consequences.