The Zeros and Nevanlinna Deficiencies for Some q-Shift Difference Differential Polynomials of Meromorphic Functions  

作　　者：Xiumin ZHENG Hongyan XU 

机构地区：[1]School of Mathematics and Statistics,Jiangxi Normal University,Jiangxi 330022.P.R.China [2]School of Mathematics and Computer Science,Shangrao Normal University,Jiangxi 334001,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2022年第1期31-40,共10页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11761035,12161074);the Natural Science Foundation of Jiangxi Province(Grant No.20181BAB201001);the Foundation of Education Department of Jiangxi Province(Grant Nos.GJJ190876,GJJ202303,GJJ201813,GJJ191042)。

摘　　要：The first purpose of this paper is to study the properties on some q-shift difference differential polynomials of meromorphic functions,some theorems about the zeros of some q-shift difference-differential polynomials with more general forms are obtained.The second purpose of this paper is to investigate the properties on the Nevanlinna deficiencies for q-shift difference differential monomials of meromorphic functions,we obtain some relations amongδ(∞,f),δ(∞,f′),δ(∞,f(z)^(n)f(qz+c)^(m)f′(z)),δ(∞,f(qz+c);f′(z))andδ(∞,f(z)^(n)f(qz+c)^(m)).

关 键 词：Nevanlinna theory q-shift difference differential zero order 

分 类 号：O174.52[理学—数学]