Asymptotic Behavior of Functions with Bounded Boundary Rotation

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

A Variational Method for Functions of Bounded Boundary Rotation

Let / be a function analytic in the unit disc, properly normalized, with bounded boundary rotation. There exists a Stieltjes integral representation for 1 +zf"(z)jf'(z). From this representation, and in view of a known variational formula for functions of positive real part, a variational formula is derived for functions of the form q(z) = l +zf"(z)jf'(z). This formula is for functions of arbit...

On Certain Analytic Functions of Bounded Boundary Rotation

In this paper we introduce certain analytic functions of boundary rotation bounded by k1r which are of Caratheodory origin. With them we study two classes of analytic and univalent functions in the unit disk E = {z E C Izi < I} , which are also of bounded boundary rotation.

asymptotic behavior of multivariate reward processes with nonlinear reward functions

Generalized bounded boundary turning functions

For a Jordan domain with smooth boundary, the boundary rotation h is defined as the total variation of the direction angle of the tangent to the boundary curve under a complete circuit. The domain is said to have bounded turning or rotation if h < 1 and the functions under such mappings are called functions of bounded boundary turning or rotation. We define a generalization of this concept and ...