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Pure Mathematics 2025
某类复微分–差分多项式的唯一性
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Abstract:
设
是一个有限级超越亚纯函数,
是一个非零常数。对于任意的
,假设
是下面的微分差分多项式的形式:,其中,
不是全为零的复数。在本篇文章中,主要研究了
的唯一性问题。
Let
be a transcendental meromorphic function of finite order and
be a nonzero constant. For any
, suppose that
is a differential-difference polynomial of the form , where
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