Liouville’s theorem on a transcendental equation $\log Y=Y/X$

Matsuda, Michihiko

J. Math. Kyoto Univ., Tome 16 (1976) no. 3, p. 545-554 / Harvested from Project Euclid

Résumé

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]).

Publié le : 1976-05-15
Classification:

@article{1250522872,
     author = {Matsuda, Michihiko},
     title = {Liouville's theorem on a transcendental equation $\log Y=Y/X$},
     journal = {J. Math. Kyoto Univ.},
     volume = {16},
     number = {3},
     year = {1976},
     pages = { 545-554},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250522872}
}

Matsuda, Michihiko. Liouville’s theorem on a transcendental equation $\log Y=Y/X$. J. Math. Kyoto Univ., Tome 16 (1976) no. 3, pp.  545-554. http://gdmltest.u-ga.fr/item/1250522872/