The aim of this paper is to define and study a class of analytic functions related to Bazilevic type functions in the open unit disc.This class is defined by using a convolution operator and the concept of bounded radius rotation of order ρ . A necessary condition, inclusion result, arc length and some other interesting properties of this class of functions are investigated.

We prove a generalization of the Poincaré-Birkhoff theorem for the open annulus showing that if a homeomorphism satisfies a certain twist condition and the nonwandering set is connected, then there is a fixed point. Our main focus is the study of bounded homeomorphisms of the open annulus. We prove a fixed point theorem for bounded homeomorphisms and study the special case of those homeomorphis...

The nite element method with rectangular meshes for the Reissner-Mindlin plate is analyzed. For a plate with thickness bounded below by a positive constant (moderately thick plate), derivative superconvergence of the nite element solution at the Gaussian points is justiied and optimal error estimates for both rotation and displacement are established.

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.

We prove that the standard half-harmonic map U : R → S defined by x → ( x−1 x2+1 −2x x2+1 ) is nondegenerate in the sense that all bounded solutions of the linearized half-harmonic map equation are linear combinations of three functions corresponding to rigid motions (dilation, translation and rotation) of U .

Consider an analytic function f which has a Siegel disk properly contained in the domain of holomorphy. We prove that if the rotation number is of bounded type, then f has a critical point in the boundary of the Siegel disk.

We give a Gray code and constant average time generating algorithm for derangements, i.e., permutations with no 0xed points. In our Gray code, each derangement is transformed into its successor either via one or two transpositions or a rotation of three elements. We generalize these results to permutations with number of 0xed points bounded between two constants. ? 2003 Elsevier B.V. All rights...

correct. We shall modify this result for linear-invariant families. Families of closeto-convex functions and of functions of bounded boundary rotation will be showed to be linear-invariant. Because of the coefficient estimate for close-to-convex functions and functions of bounded boundary rotation derived by Aharonov and Friedland [1], it is possible to get the distortion theorem for the n-th. ...

The photoreceptor cGMP phosphodiesterase (PDE6) plays a key role in vertebrate vision, but its enzymatic mechanism and the roles of metal ion co-factors have yet to be determined. We have determined the amount of endogenous Zn in rod PDE6 and established a requirement for tightly bound Zn in catalysis. Purified PDE6 contained 3–4-g atoms of zinc/mole, consistent with an initial content of two t...