CHAPTER VIII

Abstrakty

EN

ELLIPTIC FUNCTIONS
§ 1. General remarks about periodic functions
§ 2. Expansion of a periodic function in a Fourier series
§ 3. General theorems on elliptic functions
§ 4. The function p(z)
§ 5. Differential equation of the function p(z)
§ 6. The function ζ(z) and σ(z)
§ 7. Construction of elliptic functions by means of the function σ(z)
§ 8. Expression of elliptic functions in terms of the functions ζ(z) and σ(z)
§ 9. Algebraic addition theorem for the function p(z)
§ 10. Algebraic relations between elliptic functions
§ 11. The modular function J(τ)
§ 12. Further properties of the function J(τ)
§ 13.Solution of the system of equations $g_2(ω,ω')=a$, $g_3(ω,ω')=b$
§ 14. Elliptic integrals

Twórcy

• Książka: Analytic functions
• Kolekcja: DML-PL