On functions of Jacobi-Weierstrass (I) and equation of Painleve
| dc.creator | Brezhnev, Yu. V. | |
| dc.date | 2008-08-26 | |
| dc.date.accessioned | 2026-07-07T09:58:28Z | |
| dc.date.available | 2026-07-07T09:58:28Z | |
| dc.description | The paper is an essentially extended version of the work math.CA/0601371, supplemented with an application. We present new results in the theory of classical $θ$-functions of Jacobi and $σ$-functions of Weierstrass: ordinary differential equations and series expansions. We also give the extension of canonical $θ$-functions and consider an application to the sixth Painlevé equation (P6). Picard--Hitchin's general solution of P6 is represented explicitly in a form of logarithmic derivative of a corresponding $τ$-function (Painlevé's form). | |
| dc.description | In Russian; 33 pages; 1 figure | |
| dc.identifier | https://arxiv.org/abs/0808.3486 | |
| dc.identifier | http://arxiv.org/abs/0808.3486 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167725 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Dynamical Systems | |
| dc.title | On functions of Jacobi-Weierstrass (I) and equation of Painleve | |
| dc.type | text |