Some classes of analytic functions related with functions of bounded radius rotation with respect to symmetrical points

Some Classes of Analytic Functions Related with Functions of Bounded Radius Rotation with Respect to Symmetrical Points

In this paper, we introduce a class Rk(γ) of analytic functions of bounded radius rotation with respect to symmetrical points and study some of its basic properties. Using this concept, two other classes T s k (δ ,γ) , K s k (δ ,γ) are also defined. We study coefficient results, arc-length and radius problems for these classes. Mathematics subject classification (2000): 30C45, 30C50.

Some Classes of Analytic Functions Related with Functions of Bounded Radius Rotation with Respect to Symmetrical Points Khalida Inayat Noor and Saima Mustafa

In this paper, we introduce a class Rk(γ) of analytic functions of bounded radius rotation with respect to symmetrical points and study some of its basic properties. Using this concept, two other classes T s k (δ ,γ) , K s k (δ ,γ) are also defined. We study coefficient results, arc-length and radius problems for these classes.

Some properties of analytic functions related with bounded positive real part

In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

Utility Functions Invariant with Respect to Some Classes of Shifts

A utility function U is said to be invariant with respect to a family of transformations Γ provided, for every member γ of Γ , U and U ◦ γ represent the same preference relation over lotteries. An invariance with respect to a wide class of transformations can be reduced to an invariance with respect to the shift transformations. We give a complete answer to the following question: given a nonem...