Nevanlinna's five-value theorem for derivatives of meromorphic functions in an angular domain

Ashok Rathod, Shreekant Patil
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Abstract

. In this paper, we fi rst obtain the famous Xiong Inequality for meromorphic functions in an angular domain and also generalise Nevanlinna’s fi ve-value theorem for derivatives of meromorphic functions by considering weaker assumptions of sharing fi ve values and small functions to partially sharing k ( (cid:2) 5 ) values and small functions in an angular domain. As a particular cases of our results, we deduce He Ping result in an angular domain.
角域上亚纯函数导数的Nevanlinna五值定理
. 本文首先得到了角域上亚纯函数的著名Xiong不等式,并通过考虑5值和小函数共享的较弱假设,将Nevanlinna关于亚纯函数导数的5值定理推广到角域上k ((cid:2) 5)值和小函数部分共享。作为我们的结果的一个特例,我们推导出和平结果在角域中。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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