# scipy.special.it2struve0

scipy.special.it2struve0(x, out=None) = <ufunc 'it2struve0'>

  Integral related to the Struve function of order 0.

  Returns the integral,

  \[\int_x^\infty \frac{H_0(t)}{t}\,dt\]

  where \(H_0\) is the Struve function of order 0.

  Parameters:
    x array_like

      Lower limit of integration.

    out ndarray, optional

      Optional output array for the function values

  Returns:
    I scalar or ndarray

      The value of the integral.

  See also

  `struve`

  Notes

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

  References

  [1]

  Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996. https://people.sc.fsu.edu/~jburkardt/f_src/special_functions/special_functions.html

  Examples

  Evaluate the function at one point.

      >>> import numpy as np
      >>> from scipy.special import it2struve0
      >>> it2struve0(1.)
      0.9571973506383524

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

      >>> points = np.array([1., 2., 3.5])
      >>> it2struve0(points)
      array([0.95719735, 0.46909296, 0.10366042])

  Plot the function from -10 to 10.

      >>> import matplotlib.pyplot as plt
      >>> x = np.linspace(-10., 10., 1000)
      >>> it2struve0_values = it2struve0(x)
      >>> fig, ax = plt.subplots()
      >>> ax.plot(x, it2struve0_values)
      >>> ax.set_xlabel(r'$x$')
      >>> ax.set_ylabel(r'$\int_x^{\infty}\frac{H_0(t)}{t}\,dt$')
      >>> plt.show()