Voir la notice du chapitre de livre
@article{MP_2003_3_7_a10,
author = {V. V. Prasolov},
title = {{\CYRN}{\cyre}{\cyrerev}{\cyrl}{\cyre}{\cyrm}{\cyre}{\cyrn}{\cyrt}{\cyra}{\cyrr}{\cyrn}{\cyro}{\cyrs}{\cyrt}{\cyrsftsn} {\cyrn}{\cyre}{\cyrk}{\cyro}{\cyrt}{\cyro}{\cyrr}{\cyrery}{\cyrh} {\cyri}{\cyrn}{\cyrt}{\cyre}{\cyrg}{\cyrr}{\cyra}{\cyrl}{\cyro}{\cyrv} {\cyrerev}{\cyrl}{\cyre}{\cyrm}{\cyre}{\cyrn}{\cyrt}{\cyra}{\cyrr}{\cyrn}{\cyrery}{\cyrh} {\cyrf}{\cyru}{\cyrn}{\cyrk}{\cyrc}{\cyri}{\cyrishrt}},
journal = {Matematicheskoe Prosveshchenie},
pages = {126--135},
year = {2003},
volume = {Ser. 3, 7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MP_2003_3_7_a10/}
}
V. V. Prasolov. Неэлементарность некоторых интегралов элементарных функций. Matematicheskoe Prosveshchenie, Série 3, Matematicheskoe Prosveshchenie, Tome 7 (2003), pp. 126-135. http://geodesic.mathdoc.fr/item/MP_2003_3_7_a10/
[1] Devenport Dzh., Integrirovanie algebraicheskikh funktsii, Mir, M., 1985
[2] Kaplanskii I., Vvedenie v differentsialnuyu algebru, IL, M., 1959
[3] Kolchin E. R., Differential algebra and algebraic groups, Academic Press, London, 1973 | MR | Zbl
[4] Liouville J., “Sur la detérmination des integrales dont la valeur est algébrique”, J. École Polytech., 14 (1833), 124–193
[5] Magid A. R., Lectures on differential Galois theory, University Lecture Series, 7, AMS, Providence, RI, 1994 | MR | Zbl
[6] Rosenlicht M., “Liouville's theorem for functions with elementary integrals”, Pacific J. Math., 24 (1968), 153–161 | MR | Zbl
[7] Rosenlicht M., “Integration in finite terms”, Amer. Math. Monthly, 79 (1972), 963–972 | DOI | MR | Zbl