Results 321 to 330 of about 28,138,831 (356)

Analytic functions sharing a small function

, 2016
A. Escassut
semanticscholar   +2 more sources

MEROMORPHIC FUNCTIONS SHARING SMALL FUNCTIONS AS TARGETS

International Journal of Mathematics, 2005
The purpose of this article is twofold. The first is to prove the unicity theorem with truncated multiplicities of meromorphic functions sharing five small functions. This gives a remarkable improvement of the results of Yuhua–Jianyong, Yao and Yi. The second is to generalize the unicity theorem of Fujimoto to meromorphic functions sharing four small ...
Do Duc Thai, Tran Van Tan
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Meromorphic functions sharing small functions

Archiv der Mathematik, 2001
The author proved the following main result: Let \(f\) and \(g\) be meromorphic functions sharing four small functions \(a_1,a_2,a_3,a_4\) ignoring multiplicities. If there is a small function \(a_5\) distinct from \(a_j\), \(j=1,2,3,4\), such that \[ \overline{N}(r,f=a_5=g)\not=o(T(r,f))\;(r\to\infty) \] possibly outside a set of \(r\) of finite ...
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Entire Functions Share Two Half-Small Functions

Ukrainian Mathematical Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rational functions with small value set

Journal of Algebra, 2021
In connection with Galois Theory and Algebraic Curves, this paper investigates rational functions $h(x) = f(x)/g(x) \in \mathbb{F}_q(x)$ for which the value set $V_h = {\{h(α) | α \in \mathbb{F}_q \cup\{\infty\}}\}$ is relatively small. In particular, under certain circumstances, it proves that $h(x)$ having a small value set is equivalent to the field
Daniele Bartoli, Herivelto Borges, Luciane Quoos   +2 more
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Multiplicative functions with small increments. II

Acta Mathematica Hungarica, 1990
\(\{\) For part I, cf. ibid. 55, No.1/2, 97-101 (1990; Zbl 0709.11050)\(\}\). A complete description is given of the multiplicative functions f that satisfy \[ \sum_{n\leq x}| f(n+K)- f(n)|^{\alpha}=O(\rho^{\alpha}(x)) \] for some K, a constant \(\alpha\geq 1\) and a slowly varying function \(\rho\). Such a function either satisfies \(\sum_{n\leq x}| f(
Indlekofer, K.-H., Kátai, I.
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SMALL-BOUND ISOMORPHISMS OF FUNCTION SPACES

Journal of the Australian Mathematical Society, 2020
AbstractLet $\mathbb{F}=\mathbb{R}$ or $\mathbb{C}$. For $i=1,2$, let $K_{i}$ be a locally compact (Hausdorff) topological space and let ${\mathcal{H}}_{i}$ be a closed subspace of ${\mathcal{C}}_{0}(K_{i},\mathbb{F})$ such that each point of the Choquet boundary $\operatorname{Ch}_{{\mathcal{H}}_{i}}K_{i}$ of ${\mathcal{H}}_{i}$ is a weak peak point ...
JAKUB RONDOŠ, JIŘÍ SPURNÝ
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Effects of early-life lactoferrin intervention on growth performance, small intestinal function and gut microbiota in suckling piglets.

Food & Function, 2019
The early postnatal stage is a critical period for suckling animals in developing intestinal function and stabilizing gut microbiota. Lactoferrin (LF) plays a critical role in promoting gut development and regulating gut microbiota.
P. Hu, Fangzhou Zhao, Weiyun Zhu, Jing Wang   +3 more
semanticscholar   +1 more source

A Lemma about Meromorphic Functions Sharing a Small Function

Computational methods in Function Theory, 2021
T. An, N. Phuong
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