Legendre relation

SearchAdvancedHelp

(0.003 seconds)

1—10 of 74 matching pages

1: 14 Legendre and Related Functions

Chapter 14 Legendre and Related Functions

…

2: 29 Lamé Functions

…

3: 15 Hypergeometric Function

…

4: T. Mark Dunster

… ►

14 Legendre and Related Functions

…

5: 1 Algebraic and Analytic Methods

…

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 $\pi$ 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. …