freealg.distributions.FussCatalan.density#

FussCatalan.density(x=None, eta=0.0002, plot=False, latex=False, save=False, eig=None)#

Density of distribution.

Parameters:

xnumpy.array, default=None: The locations where density is evaluated at. If None, an interval slightly larger than the supp interval of the spectral density is used.
rhonumpy.array, default=None: Density. If None, it will be computed.
etafloat, default=2e-4: The offset \(\eta\) from the real axis where the density is evaluated using Plemelj formula at \(z = x + i \eta\).
plotbool, default=False: If True, density is plotted.
latexbool, default=False: If True, the plot is rendered using LaTeX. This option is relevant only if plot=True.
savebool, default=False: If not False, the plot is saved. If a string is given, it is assumed to the save filename (with the file extension). This option is relevant only if plot=True.
eignumpy.array, default=None: A collection of eigenvalues to compare to via histogram. This option is relevant only if plot=True.

Returns: