SciPy

numpy.polynomial.hermite.hermweight

numpy.polynomial.hermite.hermweight(x)[source]

Weight function of the Hermite polynomials.

The weight function is

System Message: WARNING/2 (\exp(-x^2))

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and the interval of integration is

System Message: WARNING/2 ([-\inf, \inf])

latex exited with error [stdout] This is pdfTeX, Version 3.14159265-2.6-1.40.16 (TeX Live 2015/TeX Live for SUSE Linux) (preloaded format=latex) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2015/01/01> patch level 2 Babel <3.9m> and hyphenation patterns for 79 languages loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 2014/09/29 v1.4h Standard LaTeX document class (/usr/share/texmf/tex/latex/base/size12.clo)) (/usr/share/texmf/tex/latex/base/inputenc.sty ! LaTeX Error: File `utf8x.def’ not found. Type X to quit or <RETURN> to proceed, or enter new name. (Default extension: def) Enter file name: ! Emergency stop. <read *> l.173 \endinput ^^M No pages of output. Transcript written on math.log.
. the Hermite polynomials are orthogonal, but not normalized, with respect to this weight function.

Parameters:

x : array_like

Values at which the weight function will be computed.

Returns:

w : ndarray

The weight function at x.

Notes