(For other notation see Notation for the Special Functions.)
|real parameters, , .|
|,||complete elliptic integrals of the first kind with moduli , respectively (see §19.2(ii)).|
All derivatives are denoted by differentials, not by primes.
The main functions treated in this chapter are the eigenvalues , , , , the Lamé functions , , , , and the Lamé polynomials , , , , , , , . The notation for the eigenvalues and functions is due to Erdélyi et al. (1955, §15.5.1) and that for the polynomials is due to Arscott (1964b, §9.3.2). The normalization is that of Jansen (1977, §3.1).