riccati_jn(n, x)

The Ricatti-Bessel function of the first kind is defined as $x j_n(x)$ , where $j_n$ is the spherical Bessel function of the first kind of order $n$ .

This function computes the value and first derivative of the Ricatti-Bessel function for all orders up to and including n.

Notes

The computation is carried out via backward recurrence, using the relation DLMF 10.51.1 .

Wrapper for a Fortran routine created by Shanjie Zhang and Jianming Jin .

Parameters

n : int

Maximum order of function to compute

x : float

Argument at which to evaluate

Returns

jn : ndarray

Value of j0(x), ..., jn(x)

jnp : ndarray

First derivative j0'(x), ..., jn'(x)

Compute Ricatti-Bessel function of the first kind and its derivative.

Examples

See :

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GitHub : /scipy/special/_basic.py#876
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