论文标题
Annuli共享有限套装的Meromorormormorphic函数与截短的多重性
Meromorphic functions on annuli sharing finite sets with truncated multiplicity
论文作者
论文摘要
本文的目的是双重的。第一个是在Annuli和Meromorormormormormormormormorormormormorormormorormorphic函数目标（可能不是小功能）上建立第二个主要定理，具有截断的计数函数（截断级别1），并且对误差项进行了详细的估计。第二个是表明，如果多项式$$ p_s（w）=（w-a_1）\ cdots（w-a_q）$$是一种独特的多项式，用于在annulus $ \ mathbb a（r_0）上的可允许的meromormorphic函数（r_0）$，以至于$ p'__s（w）$ j $ k $ k $ k $ k $ k zeros and $ k zeros and＆k seros and＆k seros and＆k seros和$ q> \ frac {（5k+7）\ ell} {2 \ ell-175} $，然后套装$ s = \ {a_1，\ ldots，a_q \} $是一个有限范围集合，带有truncation $ \ ell $，带有$ \ ell $ for Acciss-affissible for Acciss-affissible Meromorphic函数，可在$ \ nathbb a（r_0）上$ \ nationa（r_0）。该结果将h. fujimoto的$ \ m rathbb c $上的holomorphic函数的有限范围集（具有截断级别$ \ ell = \ infty $）扩展到了先前的结果。
The purpose of this paper has twofold. The first is to establish a second main theorem for meromorphic functions on annuli and meromorphic function targets (may not be small functions) with truncated counting functions (truncation level 1) and with a detailed estimate for the error term. The second is to show that if the polynomial $$P_S(w)=(w-a_1)\cdots (w-a_q)$$ is a uniqueness polynomial for admissible meromorphic functions on an annulus $\mathbb A(R_0)$ such that $P'_S(w)$ has exactly $k$ distinct zeros and $q>\frac{(5k+7)\ell}{2\ell-175}$, then the set $S=\{a_1,\ldots,a_q\}$ is a finite range set with truncation level $\ell$ for admissible meromorphic functions on $\mathbb A(R_0)$. This result extends the previous result on the finite range set (with truncation level $\ell=\infty$) for holomorphic functions on $\mathbb C$ of H. Fujimoto.
