Value cross-sharing problems on meromorphic functions

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2024-09-16 DOI:10.1007/s10476-024-00051-8

Y. C. Gao, K. Liu, F. N. Wang

引用次数: 0

Abstract

In this paper, we continue to consider the value cross-sharing problems on meromorphic functions. We mainly present some results and improvements on \(f(z)\) and \(g(z)\) provided that \(f(z)\) and \(g^{(k)}(z)\) share common values together with \(g(z)\) and \(f^{(k)}(z)\) share the same or different common values CM or IM, where \(f(z), g(z)\) are meromorphic functions and \(k\) is a positive integer. With additional conditions on deficiency, we get more accurate relations on \(f(z)\) and \(g(z)\) when \(f(z)\) and \(g^{(k)}(z)\) share a CM together with \(g(z)\) and \(f^{(k)}(z)\) share b CM, where a, b are constants.

查看原文本刊更多论文

分形函数的值交叉共享问题

在本文中，我们将继续考虑关于同态函数的值交叉共享问题。我们主要介绍了在\(f(z)\)和\(g(z)\)共享公共值以及\(g(z)\)和\(f^{(k)}(z)\)共享相同或不同的公共值 CM 或 IM 的前提下，关于\(f(z)\)和\(g(z)\)的一些结果和改进、其中，\(f(z), g(z)\)都是同态函数，\(k\)是正整数。当 \(f(z)\) 和 \(g^{(k)}(z)\) 共享一个 CM，同时 \(g(z)\) 和 \(f^{(k)}(z)\) 共享 b 个 CM，其中 a、b 为常数时，通过附加的缺陷条件，我们可以得到关于 \(f(z)\) 和 \(g(z)\) 的更精确的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.