About the Project
NIST

Legendre relation

AdvancedHelp

(0.003 seconds)

1—10 of 68 matching pages

1: 14 Legendre and Related Functions
Chapter 14 Legendre and Related Functions
2: 29 Lamé Functions
3: 1 Algebraic and Analytic Methods
4: 15 Hypergeometric Function
5: T. Mark Dunster
6: 10 Bessel Functions
7: 18 Orthogonal Polynomials
8: 19.35 Other Applications
Generalizations of elliptic integrals appear in analysis of modular theorems of Ramanujan (Anderson et al. (2000)); analysis of Selberg integrals (Van Diejen and Spiridonov (2001)); use of Legendre’s relation (19.7.1) to compute π to high precision (Borwein and Borwein (1987, p. 26)). …
9: 15.16 Products
Generalized Legendre’s Relation
10: 19.10 Relations to Other Functions
§19.10(i) Theta and Elliptic Functions
For relations of Legendre’s integrals to theta functions, Jacobian functions, and Weierstrass functions, see §§20.9(i), 22.15(ii), and 23.6(iv), respectively. …