fekete-szegö coefficient functional for transforms ‎of universally prestarlike functions

Fekete-Szegö coefficient functional for transforms ‎of universally prestarlike functions

‎Universally prestarlike functions of order $alphaleq 1$ in the‎ ‎slit domain $Lambda=mathbb{C}setminus [1,infty)$ have been‎ ‎recently introduced by S‎. ‎Ruscheweyh.This notion generalizes the‎ ‎corresponding one for functions in the unit disk $Delta$ (and‎ ‎other circular domains in $mathbb{C}$)‎. ‎In this paper‎, ‎we obtain‎ ‎the Fekete-Szegö coefficient functional for transforms of such‎ ‎f...

The Fekete-Szego Coefficient Functional for Transforms of Analytic Functions

the fekete-szego coefficient functional for transforms of analytic functions

Completely Monotone Sequences and Universally Prestarlike Functions

We introduce universally convex, starlike and prestarlike functions in the slit domain C \ [1,∞), and show that there exists a very close link to completely monotone sequences and Pick functions.

Fekete-Szegö Problem for a New Class of Analytic Functions

which are analytic in the open unit disk U {z : z ∈ C and |z| < 1} and S denote the subclass ofA that are univalent in U. A function f z inA is said to be in class S∗ of starlike functions of order zero in U, if R zf ′ z /f z > 0 for z ∈ U. Let K denote the class of all functions f ∈ A that are convex. Further, f is convex if and only if zf ′ z is star-like. A function f ∈ A is said to be close...

Fekete-Szegö Inequalities for Certain Classes of Biunivalent Functions

We obtain the Fekete-Szegö inequalities for the classes S S,Σ (*)(α, ϕ) and £ S,Σ(α, ϕ) of biunivalent functions denoted by subordination. The results presented in this paper improve the recent work of Crisan (2013).