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 \[\gamma^p_n=8\int_{0}^{h}dx\int_{h}^{k}dy \frac{(y^2-x^2)(E^p_n(y)E^p_n(x))^2}{\sqrt((k^2-y^2)(y^2-h^2)(h^2-x^2)(k^2-x^2)}\]- Parameters:
- h2float
- h**2
- k2float
- k**2; should be larger than- h**2
- nint
- Degree. 
- pint
- Order, can range between [1,2n+1]. 
 
- Returns:
- gammafloat
- The normalization constant \(\gamma^p_n\) 
 
 - See also - Notes - Added in version 0.15.0. - Examples - >>> from scipy.special import ellip_normal >>> w = ellip_normal(5,8,3,7) >>> w 1723.38796997