numpy.polynomial.chebyshev.chebweight

numpy.polynomial.chebyshev.chebweight(x)[source]

The weight function of the Chebyshev polynomials.

The weight function is

System Message: WARNING/2 (1/\sqrt{1 - x^2})

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and the interval of integration is

System Message: WARNING/2 ([-1, 1])

latex exited with error: [stderr] [stdout] This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013/TeX Live for SUSE Linux) restricted \write18 enabled. entering extended mode (./math.tex LaTeX2e <2011/06/27> Babel <3.9f> and hyphenation patterns for 78 languages loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 2007/10/19 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.131 \endinput ^^M No pages of output. Transcript written on math.log.
. The Chebyshev 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

New in version 1.7.0.

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