Laguerre Series
This module provides a number of functions useful for dealing with Laguerre series.
Constants
Laguerre domain. |
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Laguerre coefficients representing zero. |
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Laguerre coefficients representing one. |
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Laguerre coefficients representing the identity x. |
Arithmetic
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Add one Laguerre series to another. |
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Subtract one Laguerre series from another. |
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Multiply a Laguerre series by x. |
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Multiply one Laguerre series by another. |
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Divide one Laguerre series by another. |
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Raise a Laguerre series to a power. |
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Evaluate a Laguerre series at points x. |
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Evaluate a 2-D Laguerre series at points (x, y). |
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Evaluate a 3-D Laguerre series at points (x, y, z). |
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Evaluate a 2-D Laguerre series on the Cartesian product of x and y. |
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Evaluate a 3-D Laguerre series on the Cartesian product of x, y, and z. |
Calculus
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Differentiate a Laguerre series. |
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Integrate a Laguerre series. |
Misc Functions
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Generate a Laguerre series with given roots. |
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Compute the roots of a Laguerre series. |
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Pseudo-Vandermonde matrix of given degree. |
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Pseudo-Vandermonde matrix of given degrees. |
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Pseudo-Vandermonde matrix of given degrees. |
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Gauss-Laguerre quadrature. |
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Weight function of the Laguerre polynomials. |
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Norm of nth Laguerre polynomial. |
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Return the companion matrix of c. |
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Least squares fit of Laguerre series to data. |
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Remove "small" "trailing" coefficients from a polynomial. |
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Laguerre series whose graph is a straight line. |
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Convert a Laguerre series to a polynomial. |
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Convert a polynomial to a Laguerre series. |