For the open question 'If two nonconstant meromorphic functions share three values IM and share a fourth value CM, then do the functions necessarily share all four values CM?', the author studies the case when...For the open question 'If two nonconstant meromorphic functions share three values IM and share a fourth value CM, then do the functions necessarily share all four values CM?', the author studies the case when four values are shared IM and their counting functions satisfy an additional condition. The author obtains some results which answer this question partially.展开更多
The uniqueness of meromorphic functions that share four values is investigated. A necessary condition to the case is acquired, and some partial results for question '1CM+3IM=4CM' are obtained.
The uniqueness of meromoRphic functions that share four values are investigated, some results are obtained to show that if two nonconstant entire functions share three finite values IM, then the functions necessarily ...The uniqueness of meromoRphic functions that share four values are investigated, some results are obtained to show that if two nonconstant entire functions share three finite values IM, then the functions necessarily share all three values CM.展开更多
文摘For the open question 'If two nonconstant meromorphic functions share three values IM and share a fourth value CM, then do the functions necessarily share all four values CM?', the author studies the case when four values are shared IM and their counting functions satisfy an additional condition. The author obtains some results which answer this question partially.
基金Project supported by the National Natural Science Foundation of China(19971052) and the Programme of Hunan Education Foundation(02C095)
文摘The uniqueness of meromorphic functions that share four values is investigated. A necessary condition to the case is acquired, and some partial results for question '1CM+3IM=4CM' are obtained.
文摘The uniqueness of meromoRphic functions that share four values are investigated, some results are obtained to show that if two nonconstant entire functions share three finite values IM, then the functions necessarily share all three values CM.
