Finiteness property and the periodicity of meromorphic functions

IF 0.6 3区 数学 Q3 MATHEMATICS
S.-X. Mei, W.-Q. Shen, J. Wang, X. Yao
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引用次数: 0

Abstract

In this paper we connect the finiteness property and the periodicity in the study of the generalized Yang’s conjecture and its variations, which involve the inverse question of whether f(z) is still periodic when some differential polynomial in f is periodic. The finiteness property can be dated back to Weierstrass in the characterization of addition law for meromorphic functions. To the best of our knowledge, it seems the first time that the finiteness property is used to investigate generalized Yang’s conjecture, which gives a partial affirmative answer for the meromorphic functions with at least one pole.

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来源期刊
Analysis Mathematica
Analysis Mathematica MATHEMATICS-
CiteScore
1.00
自引率
14.30%
发文量
54
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.
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