弱加权共享亚纯函数齐次微分多项式的唯一性

Journal of classical analysis Pub Date : 2020-01-01 DOI:10.7153/jca-2020-16-04

D. C. Pramanik, Jayanta Roy

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引用次数: 0

摘要

。2006年S. Lin和W. Lin [3]fi首次定义了函数的弱加权共享概念，并证明了亚纯函数f及其n阶导数f (n)的唯一性。利用函数的弱加权共享的概念，证明了分别由亚模函数f和g生成的齐次微分多项式P [f]和P [g]的唯一性。

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Uniqueness of homogeneous differential polynomials of meromorphic functions concerning weakly weighted sharing

. In 2006 S. Lin and W. Lin [3] ﬁ rst de ﬁ ned the concept of weakly-weighted sharing of functions and proved some results on uniqueness of a meromorphic function f and its n -th derivative f ( n ) . Using this notion of weakly-weighted sharing of functions, in this paper we prove uniqueness of homogeneous differential polynomials P [ f ] and P [ g ] generated by mero- morphic functions f and g respectively.

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