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Module « scipy.special »

Fonction itstruve0 - module scipy.special

Signature de la fonction itstruve0

def itstruve0(*args, **kwargs) 

Description

help(scipy.special.itstruve0)

itstruve0(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature])


    itstruve0(x, out=None)

    Integral of the Struve function of order 0.

    .. math::
        I = \int_0^x H_0(t)\,dt

    Parameters
    ----------
    x : array_like
        Upper limit of integration (float).
    out : ndarray, optional
        Optional output array for the function values

    Returns
    -------
    I : scalar or ndarray
        The integral of :math:`H_0` from 0 to `x`.

    See Also
    --------
    struve: Function which is integrated by this function

    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 itstruve0
    >>> itstruve0(1.)
    0.30109042670805547

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

    >>> points = np.array([1., 2., 3.5])
    >>> itstruve0(points)
    array([0.30109043, 1.01870116, 1.96804581])

    Plot the function from -20 to 20.

    >>> import matplotlib.pyplot as plt
    >>> x = np.linspace(-20., 20., 1000)
    >>> istruve0_values = itstruve0(x)
    >>> fig, ax = plt.subplots()
    >>> ax.plot(x, istruve0_values)
    >>> ax.set_xlabel(r'$x$')
    >>> ax.set_ylabel(r'$\int_0^{x}H_0(t)\,dt$')
    >>> plt.show()
    

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