On functions of Jacobi and Weierstrass (I)

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.

15 pages. v3 is in English (v1,2 are in Russian and the same)

Cited by in corpus (2)

• Nonlinear Differential Equations Satisfied by Certain Classical Modular Forms
• On the uniformization of algebraic curves