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nome

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 exp(-pi*i*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

Examples

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

elliptic

Weierstrass and Jacobi Elliptic Functions

v1.4-0
GPL-2
Authors
Robin K. S. Hankin [aut, cre] (<https://orcid.org/0000-0001-5982-0415>)
Initial release

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