Results 251 to 260 of about 2,376,801 (294)

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 Four Values

Southeast Asian Bulletin of Mathematics, 2003
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Song, Guodong, Chang, Jianming
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FUNCTION SHARING IN MECHANICAL DESIGN

Design Studies, 1990
Abstract Function sharing is the simultaneous implementation of several functions by a single structural element. This article describes how the idea of function sharing can be used in a computational design procedure that produces efficient designs from modular designs.
Karl T. Ulrich, Warren P. Seering
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Value Cross-Sharing of Meromorphic Functions

Computational Methods and Function Theory, 2023
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Wang, Funa, Liu, Kai
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Function Secret Sharing

2015
Motivated by the goal of securely searching and updating distributed data, we introduce and study the notion of function secret sharing (FSS). This new notion is a natural generalization of distributed point functions (DPF), a primitive that was recently introduced by Gilboa and Ishai (Eurocrypt 2014). Given a positive integer \(p\ge 2\) and a class \(\
Elette Boyle, Niv Gilboa, Yuval Ishai
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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
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A Lemma about Meromorphic Functions Sharing a Small Function

Computational Methods and Function Theory, 2021
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An, Ta Thi Hoai, Phuong, Nguyen Viet
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MEROMORPHIC FUNCTIONS THAT SHARE FOUR VALUES

Acta Mathematica Scientia, 2004
If two nonconstant meromorphic functions in the plane share three values ignoring multiplicity and share a fourth value counting multiplicity, it is a well-known conjecture that the functions share all four values counting multiplicity. The authors give a necessary condition for the conjecture to hold and also obtain an improvement on an earlier ...
Huang, Bin, Du, Jinyuan
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Meromorphic functions sharing four small functions

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2009
The classical uniqueness theorems for meromorphic functions tell that whenever two meromorphic functions share five, resp. four, extended complex values IM, resp. CM, then \(f=g\), resp. \(f=M\circ g\), where \(M\) is a Möbius transformation. Later on, \textit{G. G. Gundersen} proved that CM in the four-point theorem can be replaced with 2CM + 2IM, see
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