Notes on meromorphic functions that share three small functions with their \(k\)th order derivatives

IF 0.5 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2025-06-12 DOI:10.1007/s10476-025-00092-7

X. -H. Huang

引用次数: 0

Abstract

In this paper, we investigate a uniqueness question of transcendental meromorphic functions sharing three distinct polynomials with their kth order derivatives, and investigate a uniqueness question of transcendental meromorphic functions sharing three distinct small functions with their \(k\)th order derivatives, where two of the three distinct small functions are two distinct finite values. The main results obtained in this paper improve the corresponding results from Mues–Steinmetz [5], Gundersen [4] and Frank–Schwick [6].

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关于具有\(k\)阶导数的三个小函数的亚纯函数的注释

本文研究了具有三个不同多项式的超亚纯函数与其第k阶导数的唯一性问题，以及具有三个不同小函数与其\(k\)阶导数的超亚纯函数的唯一性问题，其中三个不同小函数中的两个是两个不同的有限值。本文得到的主要结果改进了Mues-Steinmetz[5]、Gundersen[4]和Frank-Schwick[6]的相应结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.