ON SOME HARMONIC FUNCTIONS RELATED TO HOLOMORPHIC FUNCTIONS WITH A POSITIVE REAL PART
Journal Title: Проблемы анализа-Issues of Analysis - Year 2004, Vol 11, Issue
Abstract
In the paper we examine some holomorphic functions and complex harmonic functions, which satisfy certain conditions of a Mocanu kind. We also consider their relations with appropriate coefficient conditions. The paper is a natural supplement to the results published in [1] and [2].
Authors and Affiliations
Z. J. JAKUBOWSKI, A. LAZINSKA
Keywords
Related Articles
- EP ID EP243930
- DOI -
- Views 104
- Downloads 0
INJECTIVITY OF SECTIONS OF CLOSE-TO-CONVEX HARMONIC MAPPINGS WITH FUNCTIONS CONVEX IN ONE DIRECTION AS ANALYTIC PART
In this article, we prove a two-points distortion theorem and obtain sharp coefficient estimates for the families of close-toconvex harmonic mappings whose analytic part is a function convex in one direction. By making u...
ON THE ALMOST PERIODIC AT INFINITY FUNCTIONS FROM HOMOGENEOUS SPACES
We consider homogeneous spaces of functions defined on the real axis (or semi-axis) with values in a complex Banach space. We study the new class of almost periodic at infinity functions from homogeneous spaces. The main...
ЛИНЕЙНО-ИНВАРИАНТНЫЕ СЕМЕЙСТВА ГОЛОМОРФНЫХ ОТОБРАЖЕНИЙ ШАРА, ПЕРЕХОД К ВЫСШИМ РАЗМЕРНОСТЯМ
In the paper there has been given the complete proof of an extension theorem from [1], which concerns the changes of the order of linearly invariant families (LIF) during passage from arbitrarily fixed LIF in C^n to a LI...
ВЗАИМНЫЕ МУЛЬТИФРАКТАЛЬНЫЕ СПЕКТРЫ I. ТОЧНЫЕ СПЕКТРЫ
It has introduced the fine mutual multifractal spectra for Borel probability measures and received the estimations for these spectra.
ON SOLVABILITY OF ONE DIFFERENCE EQUATION
We consider a system of difference equation similar to those that appear as description of cumulative sums. Using Hamel bases, we construct pathological solutions to this system for constant right-hand sides. Also we sho...