On uniqueness of meromorphic solutions to difference Painlevé Ⅲ equations
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摘要: 研究了潘勒韦Ⅲ差分方程有限级超越亚纯解的唯一性问题，证明了在一定条件下，如果潘勒韦Ⅲ差分方程的有限级超越亚纯解w和另一个亚纯函数${\tilde w}$有两个不同的有限分担值并且有完全相同的极点（计重数），那么w≡ ${\tilde w}$.Abstract: We investigate the uniqueness of finite-order transcendental meromorphic solutions to difference Painlevé Ⅲ equations. We suppose w is a finite-order transcendental meromorphic solution to difference Painlevé Ⅲ equation. If w shares two distinct finite values with another meromorphic function ${\tilde w}$ and they have the same poles (counting multiplicities), we conclude that w ≡ ${\tilde w}$ under certain conditions.
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