scipy 1.8.0 Pypi GitHub Homepage
Other Docs
ParametersReturns
mathieu_odd_coef(m, q)

The Fourier series of the odd solutions of the Mathieu differential equation are of the form

$$\mathrm{se}_{2n+1}(z, q) = \sum_{k=0}^{\infty} B_{(2n+1)}^{(2k+1)} \sin (2k+1)z$$ $$\mathrm{se}_{2n+2}(z, q) = \sum_{k=0}^{\infty} B_{(2n+2)}^{(2k+2)} \sin (2k+2)z$$

This function returns the coefficients $B_{(2n+2)}^{(2k+2)}$ for even input m=2n+2, and the coefficients $B_{(2n+1)}^{(2k+1)}$ for odd input m=2n+1.

Parameters

m : int

Order of Mathieu functions. Must be non-negative.

q : float (>=0)

Parameter of Mathieu functions. Must be non-negative.

Returns

Bk : ndarray

Even or odd Fourier coefficients, corresponding to even or odd m.

Fourier coefficients for even Mathieu and modified Mathieu functions.

Examples

See :

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /scipy/special/_basic.py#1185
type: <class 'function'>
Commit: