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SciPy

This is documentation for an old release of SciPy (version 0.17.1). Read this page in the documentation of the latest stable release (version 1.15.1).

scipy.special.ellip_normal

scipy.special.ellip_normal(h2, k2, n, p)[source]

Ellipsoidal harmonic normalization constants gamma^p_n

The normalization constant is defined as

γpn=8h0dxkhdy(y2x2)(Epn(y)Epn(x))2((k2y2)(y2h2)(h2x2)(k2x2)
Parameters:

h2 : float

h**2

k2 : float

k**2; should be larger than h**2

n : int

Degree.

p : int

Order, can range between [1,2n+1].

Returns:

gamma : float

The normalization constant γpn

Notes

New in version 0.15.0.

Examples

>>>
>>> from scipy.special import ellip_normal
>>> w = ellip_normal(5,8,3,7)
>>> w
1723.38796997