亚纯函数q差分多项式的值分布

J4 ›› 2013, Vol. 48 ›› Issue (10): 86-89.

亚纯函数q差分多项式的值分布

张克玉1,2,仪洪勋2

1. 齐鲁师范学院数学系, 山东济南 250013; 2. 山东大学数学学院, 山东济南 251000

收稿日期:2012-11-28 发布日期:2013-10-14
作者简介:张克玉(1978-),男,讲师,博士研究生,研究方向为复分析及其应用. Email:sduzky@163.com;keyu-292@163.com
基金资助:
国家自然科学基金资助项目(11171184);山东省高校科技计划项目(J09LA55)

Value distribution of q-difference polynomials of meromorphic functions

ZHANG Ke-yu1,2, YI Hong-xun2

1. Department of Mathematics, Qilu Normal University, Jinna 250013, Shandong, China;
2. School of Mathematics, Shandong University, Jinan 251000, Shandong, China

Received:2012-11-28 Published:2013-10-14

摘要/Abstract

摘要：

利用Nevanlinna理论,讨论了亚纯函数q-差分多项式［fn(z)(fm(z)-1)∏di=1f(qiz)］(k)和［fn(z)(fm(z)-1)∏di=1qif(z)］(k)的值分布问题,推广了已有文献的结果,这里n,m,k,d是正整数。

关键词: 亚纯函数;零点;惟一性;q-差分

Abstract:

Applying the theory of Nevanlinna, investigate the value distribution of q-difference polynomials of meromorphic functions fn(z)(fm(z)-1)∏di=1 f(qiz)(k) and fn(z)(fm(z)-1)∏di=1qi f(z)(k), where n,m,k,d are positive integers, and obtained some results which improved some existing results.

Key words: meromorphic function; zero; uniqueness; q-difference

中图分类号:

O174.5

张克玉1,2,仪洪勋2. 亚纯函数q差分多项式的值分布[J]. J4, 2013, 48(10): 86-89.

ZHANG Ke-yu1,2, YI Hong-xun2. Value distribution of q-difference polynomials of meromorphic functions[J]. J4, 2013, 48(10): 86-89.

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