Zeros and fixed points of the linear combination of shifts of a meromorphic function

详细信息    查看全文

• 作者：Weiwei Cui ; Lianzhong Yang ; Xiaoguang Qi
• 关键词：entire functions ; meromorphic functions ; complex difference ; fixed points ; zeros ; shift
• 刊名：Advances in Difference Equations
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,596 KB
• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

Let f be transcendental and meromorphic in the complex plane. In this article, we investigate the existences of zeros and fixed points of the linear combination and quotients of shifts of \(f(z)\) when \(f(z)\) is of order one. We also prove a result concerning the linear combination which extends a result of Bergweiler and Langley. Some results concerning the order of \(f(z) <1\) are also obtained.