Abstract
The purpose of this note is to give an algebraic proof to Liouville's theorem that any solution of a transcendental equation $\log y = y/x$ is not an elementary transcendental function of $x$ ([5, pp.526-531]).
Citation
Michihiko Matsuda. "Liouville’s theorem on a transcendental equation $\log Y=Y/X$." J. Math. Kyoto Univ. 16 (3) 545 - 554, 1976. https://doi.org/10.1215/kjm/1250522872
Information
Published: 1976
First available in Project Euclid: 17 August 2009
zbMATH: 0359.12021
MathSciNet: MR429854
Digital Object Identifier: 10.1215/kjm/1250522872
Rights: Copyright © 1976 Kyoto University
