Extension of Some Theorems of W. Schwarz

Canadian mathematical bulletin

Michael Coons¹ 

[1] Department of Pure Mathematics, University of Waterloo, Waterloo, ON N2L 3G1

关键词: functional equations;    transcendence;    power series;   

DOI  :  10.4153/CMB-2011-037-9

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper, we prove that a non--zero power series $F(z)inmathbb{C}[mkern-3mu[ z]mkern-3mu]$ satisfying $$F(z^d)=F(z)+frac{A(z)}{B(z)},$$ where $dgeq 2$, $A(z),B(z)inmathbb{C}[z]$ with $A(z)eq 0$ and $deg A(z),deg B(z)

【 授权许可】

Unknown