@article{JSFU_2019_12_4_a11,
author = {Valery K. Beloshapka},
title = {On integration of functions of complexity one},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {496--502},
year = {2019},
volume = {12},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_4_a11/}
}
Valery K. Beloshapka. On integration of functions of complexity one. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 4, pp. 496-502. http://geodesic.mathdoc.fr/item/JSFU_2019_12_4_a11/
[1] J. Liouville, “Sur la détermination des intégrales dont la valeur est algébrique”, Journal de l'ecole polytechnique, XIV, Sec. 23 (1833) | MR
[2] J.F. Ritt, Integration in finite term, Liouville's theory of elementary methods, Colombia University Press, NY, 1948 | MR
[3] V.K. Beloshapka, “Analytic Complexity of Functions of Two Variables”, Russ. J. Math. Phys., 14:3 (2007), 243–249 | DOI | MR | Zbl
[4] V.K. Beloshapka, “Algebraic Functions of Complexity One, a Weierstrass Theorem, and Three Arithmetic Operations”, Russian Journal of Mathematical Physics, 23:3 (2016), 343–347 | DOI | MR | Zbl
[5] V.K. Beloshapka, “Decomposition of Functions of Finite Analytical Complexity”, Journal of Siberian Federal University. Mathematics Physics, 11:6 (2018), 680–685 | DOI | MR