scipy.special.pro_rad1

scipy.special.pro_rad1(m, n, c, x, out=None) = <ufunc 'pro_rad1'>

Prolate spheroidal radial function of the first kind and its derivative

Computes the prolate spheroidal radial function of the first kind and its derivative (with respect to x) for mode parameters m>=0 and n>=m, spheroidal parameter c and |x| < 1.0.

Parameters:

marray_like

Nonnegative mode parameter m

narray_like

Mode parameter n (>= m)

carray_like

Spheroidal parameter

xarray_like

Real parameter (|x| < 1.0)

outndarray, optional

Optional output array for the function results

Returns:

sscalar or ndarray

Value of the function

spscalar or ndarray

Value of the derivative vs x