On Transcendental Functions Arising from Integrating Differential Equations in Finite Terms
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2539-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2539-6 | ||
| 100 | 1 | |a Malykh |D M. |u Moscow State University, Peoples' Friendship University of Russia, Moscow, Russia |4 aut | |
| 245 | 1 | 0 | |a On Transcendental Functions Arising from Integrating Differential Equations in Finite Terms |h [Elektronische Daten] |c [M. Malykh] |
| 520 | 3 | |a In this paper, we discuss a version of Galois theory for systems of ordinary differential equations in which there is no fixed list of allowed transcendental operations. We prove a theorem saying that the field of integrals of a system of differential equations is equivalent to the field of rational functions on a hypersurface having a continuous group of birational automorphisms whose dimension coincides with the number of algebraically independent transcendentals introduced by integrating the system. The suggested construction is a development of the algebraic ideas presented by Paul Painlevé in his Stockholm lectures. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/6(2015-09-01), 935-952 |x 1072-3374 |q 209:6<935 |1 2015 |2 209 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2539-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2539-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Malykh |D M. |u Moscow State University, Peoples' Friendship University of Russia, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/6(2015-09-01), 935-952 |x 1072-3374 |q 209:6<935 |1 2015 |2 209 |o 10958 | ||