STUDY ON NEW SUBFAMILY OF CONVEX FUNCTIONS ATTACHED SQUEAKY COEFFICIENT BOUNDS WITH TANH FUNCTION
We are emplying tanh function of family D_ϱ^ε of convex functions in Ʋ be introduced and investigated. The major support of this paper deals the derivations of squeaky inequalities which involve Taylor- Maclaurin cofficients for functions that attributed to class〖 D〗_ϱ^ε of convex function in Ʋ. In private, the bounds of first three coefficients of Taylor- Maclaurin series and the estimates of second-and third-order Hankel determinant say, HD_2,2 (f) and HD_3,1 (f) respectively and the estimates of the Fekete-Szegӧ functionals are the major aim for our study in this paper.
Keywords: Second-And Third-Order Hankel Determinant, Univalent Functions ,Subordination , Convex Function, The Quantum Or Basic(Or Q -) Calculus And Its Trivlal(P, Q)-Variation, Tanh Function, Analytic Functio