algebraic Lamé functions

SearchAdvancedHelp

(0.004 seconds)

1—10 of 24 matching pages

1: 29.17 Other Solutions

… ►

§29.17(ii) Algebraic Lamé Functions

►Algebraic Lamé functions are solutions of (29.2.1) when $\nu$ is half an odd integer. …

2: Bibliography E

… ►

On algebraic Lamé functions. Philos. Mag. (7) 32, pp. 348–350.

ⓘ

External Links:

MathReview (G. Szegő), ZentralBlatt

Referenced by:

§29.17(ii).

Encodings:

BibTeX

…

3: 31.8 Solutions via Quadratures

… ►For $𝐦=(m_0,0,0,0)$, these solutions reduce to Hermite’s solutions (Whittaker and Watson (1927, §23.7)) of the Lamé equation in its algebraic form. …

4: 29 Lamé Functions

Chapter 29 Lamé Functions

…

5: 14 Legendre and Related Functions

Chapter 14 Legendre and Related Functions

…

6: 29.22 Software

… ►

§29.22(i) Lamé Functions

… ►

LA1: Eigenvalues for Lamé functions.

►

LA2: Lamé functions.

… ►Program LA5 uses symbolic algebra. ►

§29.22(ii) Lamé Polynomials

…

7: 10 Bessel Functions

Chapter 10 Bessel Functions

…

8: 18 Orthogonal Polynomials

…

9: 1 Algebraic and Analytic Methods

Chapter 1 Algebraic and Analytic Methods

…

10: 31.7 Relations to Other Functions

… ►

§31.7(i) Reductions to the Gauss Hypergeometric Function

… ►Joyce (1994) gives a reduction in which the independent variable is transformed not polynomially or rationally, but algebraically. ►

§31.7(ii) Relations to Lamé Functions

… ►equation (31.2.1) becomes Lamé’s equation with independent variable $\zeta$; compare (29.2.1) and (31.2.8). The solutions (31.3.1) and (31.3.5) transform into even and odd solutions of Lamé’s equation, respectively. …