MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS  

作　　者：林伟川 仪洪勋 

机构地区：[1]Department of Mathematics Fujian Normal University,Fuzhou 350007,China [2]Department of Mathematics Shandong University,Jinan 250100,China

出　　处：《Acta Mathematica Scientia》2007年第4期845-851,共7页数学物理学报（B辑英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (10671109);Fujian Province Youth Science Technology Program(2003J006);the Doctoral Programme Foundation of Higher Education(20060422049)

摘　　要：Let S1 = {∞} and S2 = {ω ： Ps（ω） = 0}, Ps（ω） being a uniqueness polynomial under some restricted conditions. Then, for any given nonconstant meromorphic function f, there exist at most finitely many nonconstant meromorphic functions g such that f^-1 （Si） = g^-1 （Si） （i = 1, 2）, where f^-1 （Si） and g^-1 （Si） denote the pull-backs of Si considered as a divisor, namely, the inverse images of Si counted with multiplicities, by f and g respectively.Let S1 = {∞} and S2 = {ω ： Ps（ω） = 0}, Ps（ω） being a uniqueness polynomial under some restricted conditions. Then, for any given nonconstant meromorphic function f, there exist at most finitely many nonconstant meromorphic functions g such that f^-1 （Si） = g^-1 （Si） （i = 1, 2）, where f^-1 （Si） and g^-1 （Si） denote the pull-backs of Si considered as a divisor, namely, the inverse images of Si counted with multiplicities, by f and g respectively.

关 键 词：Meromorphic function uniqueness polynomial SHARED-SET 

分 类 号：O174.5[理学—数学]