ON COMPLEX HARMONIC TYPICALLY-REAL FUNCTIONS WITH A POLE AT THE POINT ZERO
Journal Title: Проблемы анализа-Issues of Analysis - Year 2006, Vol 13, Issue
Abstract
Several mathematicians examined classes of meromorphic typically-real functions with a simple pole at the point zero. This article includes results concern class Q' H of complex harmonic typically-real functions with a pole at the point zero. There are determined the relationships between this class and the class Q' r of meromorphic typically-real funtions with a pole at the origin, which was investigated by S. A. Gelfer [4]. We present also coefficient estimates for functions of a subclass of the class Q' H and properties of the Hadamard product with fuctions of the class Q' H.
Authors and Affiliations
Z. J. JAKUBOWSKI, A. SIBELSKA
Keywords
Related Articles
- EP ID EP243952
- DOI -
- Views 109
- Downloads 0
ГАРМОНИЧЕСКИЙ АНАЛИЗ ДАНКЛЯ И НЕКОТОРЫЕ ЗАДАЧИ ТЕОРИИ ПРИБЛИЖЕНИЙ ФУНКЦИЙ. I
Some problems of aproximations of functions on the real line R in the L 2- metric with certain weight by entire functions of exponential growth are studied. Modules of continuity which used in problems are constructed wi...
DISCRETE LEAST SQUARES APPROXIMATION OF PIECEWISE-LINEAR FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
Let N be a natural number greater than 1. Select N uniformly distributed points t_k = 2πk/N (0 ≤ k ≤ N − 1) on [0, 2π]. Denote by L_{n,N} (f) = L_{n,N} (f, x) (1 ≤ n ≤ N/2) the trigonometric polynomial of order n possess...
ГАРМОНИЧЕСКИЙ АНАЛИЗ ДАНКЛЯ И НЕКОТОРЫЕ ЗАДАЧИ ТЕОРИИ ПРИБЛИЖЕНИЙ ФУНКЦИЙ. II
Using generalized translations of Dunkl we define Nikolskii - Besov type function spaces and obtain their description in terms of the best approximations.
THE DAMASCUS INEQUALITY
In 2016 Prof. Fozi M. Dannan from Damascus, Syria, proposed an interesting inequality for three positive numbers with unit product. It became widely known but was not proved yet in spite of elementary formulation. In thi...
ПЕРЕСЕЧЕНИЕ МНОЖЕСТВА ЭКСТРЕМАЛЬНЫХ ФУНКЦИЙ ДЛЯ ДВУХ ФУНКЦИОНАЛОВ
В работе исследована экстремальная задача для линейного функционала в классе U' α. В частности, получен вид экстремальной функции.