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chebmul(c1, c2)

Returns the product of two Chebyshev series :None:None:`c1` * :None:None:`c2`. The arguments are sequences of coefficients, from lowest order "term" to highest, e.g., [1,2,3] represents the series T_0 + 2*T_1 + 3*T_2 .

Notes

In general, the (polynomial) product of two C-series results in terms that are not in the Chebyshev polynomial basis set. Thus, to express the product as a C-series, it is typically necessary to "reproject" the product onto said basis set, which typically produces "unintuitive live" (but correct) results; see Examples section below.

Parameters

c1, c2 : array_like: 1-D arrays of Chebyshev series coefficients ordered from low to high.

Returns

out : ndarray: Of Chebyshev series coefficients representing their product.

Multiply one Chebyshev series by another.

Examples

>>> from numpy.polynomial import chebyshev as C
... c1 = (1,2,3)
... c2 = (3,2,1)
... C.chebmul(c1,c2) # multiplication requires "reprojection"
array([  6.5,  12. ,  12. ,   4. ,   1.5])

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

numpy.polynomial.chebyshev.chebsub numpy.polynomial.chebyshev.chebpow numpy.polynomial.chebyshev.chebadd numpy.polynomial.chebyshev.chebdiv

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