scipy.special.itmodstruve0 — SciPy v1.15.2 Manual (original) (raw)

scipy.special.itmodstruve0(x, out=None) = <ufunc 'itmodstruve0'>#

Integral of the modified Struve function of order 0.

\[I = \int_0^x L_0(t)\,dt\]

Parameters:

xarray_like

Upper limit of integration (float).

outndarray, optional

Optional output array for the function values

Returns:

Iscalar or ndarray

The integral of \(L_0\) from 0 to x.

See also

modstruve

Modified Struve function which is integrated by this function

Notes

Wrapper for a Fortran routine created by Shanjie Zhang and Jianming Jin [1].

References

Examples

Evaluate the function at one point.

import numpy as np from scipy.special import itmodstruve0 itmodstruve0(1.) 0.3364726286440384

Evaluate the function at several points by supplying an array for x.

points = np.array([1., 2., 3.5]) itmodstruve0(points) array([0.33647263, 1.588285 , 7.60382578])

Plot the function from -10 to 10.

import matplotlib.pyplot as plt x = np.linspace(-10., 10., 1000) itmodstruve0_values = itmodstruve0(x) fig, ax = plt.subplots() ax.plot(x, itmodstruve0_values) ax.set_xlabel(r'$x$') ax.set_ylabel(r'$\int_0^xL_0(t),dt$') plt.show()