nome {elliptic}R Documentation

Nome in terms of m or k

Description

Calculates the nome in terms of either m (nome()) or k (nome.k()).

Usage

nome(m)
nome.k(k)

Arguments

m

Real parameter

k

Real parameter with k=m^2

Note

The nome is defined as e^{-i\pi K'/K}, where K and iK' are the quarter periods (see page 576 of AMS-55). These are calculated using function K.fun().

Author(s)

Robin K. S. Hankin

See Also

K.fun

Examples

nome(0.09)  # AMS-55 give 0.00589414 in example 7 on page 581

[Package elliptic version 1.4-0 Index]