scipy.special.riccati_jn¶

scipy.special.riccati_jn(n, x)[source]¶

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

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

Parameters:

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)

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)

References

Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996. http://jin.ece.illinois.edu/specfunc.html