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某类复微分–差分多项式的唯一性
Uniqueness of Certain Classes of Complex Differential-Difference Polynomials

DOI: 10.12677/pm.2025.151021, PP. 180-189

Keywords: 微分差分方程,Borel例外值,唯一性
Differential-Difference Equation
, Borel Exceptional Values, Uniqueness

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Abstract:

g( z ) 是一个有限级超越亚纯函数, cC 是一个非零常数。对于任意的 n N + ,假设 L ( z,g ) 是下面的微分差分多项式的形式:,其中, n0,m1, b i , d k , l j 不是全为零的复数。在本篇文章中,主要研究了 L ( z,g ) 的唯一性问题。
Let g( z ) be a transcendental meromorphic function of finite order and cC be a nonzero constant. For any n N + , suppose that L ( z,g ) is a differential-difference polynomial of the form , where n0,m1, b i , d k , l j

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