Canadian mathematical bulletin | |
Extension of Some Theorems of W. Schwarz | |
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)
Unknown 【 授权许可】
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