A Property of Hurwitz Functions.
Abstract
Consider those Hurwitz functions which are solutions of algebraic differential equations. We find that modulo a minor restriction, if all coefficients of such a function belong to a finite set, then they are periodic, and the function also satisfies a linear differential equation. The main tool used is a Kakeya’s generalization of a theorem of Fujiwara.
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online 2452-316X print 2468-1458/Copyright © 2022. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/),
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