scipy.special.diric

scipy.special.diric(x, n)

Return the periodic sinc function, also called the Dirichlet function.

The Dirichlet function is defined as:

diric(x) = sin(x * n/2) / (n * sin(x / 2)),

where n is a positive integer.

Parameters:

x : array_like

Input data

n : int

Integer defining the periodicity.

Returns:

diric : ndarray

Examples

>>> from scipy import special
>>> import matplotlib.pyplot as plt

>>> x = np.linspace(-8*np.pi, 8*np.pi, num=201)
>>> plt.figure(figsize=(8,8));
>>> for idx, n in enumerate([2,3,4,9]):
...     plt.subplot(2, 2, idx+1)
...     plt.plot(x, special.diric(x, n))
...     plt.title('diric, n={}'.format(n))
>>> plt.show()

(Source code)