On functions of Jacobi and Weierstrass (I)
Classical Analysis and ODEs
2007-05-23 v3 Mathematical Physics
Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present some new results in theory of classical theta-functions of Jacobi and sigma-functions of Weierstrass: ordinary differential equations (dynamical systems) and series expansions. The paper is basically organized as a stream of new formulas.
Keywords
Cite
@article{arxiv.math/0601371,
title = {On functions of Jacobi and Weierstrass (I)},
author = {Yu. V. Brezhnev},
journal= {arXiv preprint arXiv:math/0601371},
year = {2007}
}
Comments
15 pages. v3 is in English (v1,2 are in Russian and the same)