Results 21 to 30 of about 13,324,072 (293)
Minimal growth of entire functions with prescribed zeros outside exceptional sets
Математичні Студії, 2022 Let $h$ be a positive continuous increasing to $+\infty$ function on $\mathbb{R}$.
I. Andrusyak, P. Filevych, O. Oryshchyn
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On the Hausdorff dimension of the Julia set of a regularly growing entire function† [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2009 We show that if the growth of a transcendental entire function f is sufficiently regular, then the Julia set and the escaping set of f have Hausdorff dimension 2.
Walter Bergweiler, B. Karpinska
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About the defects of curves holomorphic in the half plane
International Journal of Mathematics and Mathematical Sciences, 1985 A study is made on the defects of curves holomorphic in the half plane. Several results are proved.
Moqbul Hossain
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Entire Bivariate Functions of Exponential Type II
Математичні Студії, 2023 Let $f(z_{1},z_{2})$ be a bivariate entire function and $C$ be a positive constant. If $f(z_{1},z_{2})$ satisfies the following inequality for non-negative integer $M$, for all non-negative integers $k,$ $l$ such that $k+l\in\{0, 1, 2, \ldots, M\}$, for ...
A. Bandura, F. Nuray
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ON ENTIRE FUNCTIONS WITH GIVEN ASYMPTOTIC BEHAVIOR
Проблемы анализа, 2018 We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions. In the theory of series of exponentials these entire functions are the main tool.
Isaev K . P .
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A property of the derivative of an entire function [PDF]
, 2011 We prove that the derivative of a non-linear entire function is unbounded on the preimage of an unbounded set. MSC 2010: 30D30. Keywords: entire function, normal family.
Walter Bergweiler, A. Eremenko
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On Localization of Zeros of an Entire Function of Finite Order of Growth
, 2017 The aim of the article is to find conditions on coefficients of a Taylor expansion of an entire function of finite order of growth in $$ \mathbb C $$C that guarantee a specified number of zeros.
A. Kytmanov, O. V. Khodos
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Results on the uniqueness of difference polynomials of entire functions
Revista de Matemática: Teoría y Aplicaciones, 2015 In this paper, we study the uniqueness of two difference polynomials of entire functions sharing one value, polynomial and small function. Our results of this paper are improvement of the previous theorems given by Chen and Chen [2], Liu, Liu and Cao [22]
Hua Wang, Hong Yan Xu
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Researches in Mathematics, 2019 Estimates above and estimates below have been obtained for Kolmogorov, linear and Bernshtein average $\nu$-widths on the classes of functions $W^r (\omega^w, \Psi)$, where $r \in \mathbb{N}$, $\omega^w(f)$ is the generalized characteristic of smoothness ...
S.B. Vakarchuk, M.B. Vakarchuk
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On the set where the iterates of an entire function are bounded [PDF]
, 2010 We show that for a transcendental entire function the set of points whose orbit under iteration is bounded can have arbitrarily small positive Hausdorff dimension.
Walter Bergweiler
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