Meromorphic functions of derivatives sharing some values
Tao Yi-xian
Abstract
Tao Yi-xian
Abstract
By calculating the counting functions of nmultiple zeros and poles of derivatives of meromorphic functions,and combined with their growth characteristics,the problems about the uniqueness on the derivatives of meromorphic functions with shared values in a certain sense is researched.The method which is usually used to study the uniqueness problems of meromorphic functions with CM or IM shared values is improred,and some uniqueness theorems are obtained correspondly,which extends some former results concerning with weight shared-valuas due to IM.
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By calculating the counting functions of nmultiple zeros and poles of derivatives of meromorphic functions,and combined with their growth characteristics,the problems about the uniqueness on the derivatives of meromorphic functions with shared values in a certain sense is researched.The method which is usually used to study the uniqueness problems of meromorphic functions with CM or IM shared values is improred,and some uniqueness theorems are obtained correspondly,which extends some former results concerning with weight shared-valuas due to IM.
Key concepts: Meromorphic function, Uniqueness, Creating shared value, Mathematics, Pure mathematics, Uniqueness theorem for Poisson's equation, Analytic function, Mathematical analysis