# Chebyshev Module (numpy.polynomial.chebyshev)

This module provides a number of objects (mostly functions) useful for dealing with Chebyshev series, including a `Chebyshev`

class that encapsulates the usual arithmetic operations. (General information on how this module represents and works with such polynomials is in the docstring for its “parent” sub-package, `numpy.polynomial`

).

## Chebyshev Class

`Chebyshev` (coef[, domain, window]) | A Chebyshev series class. |

## Basics

`chebval` (x, c[, tensor]) | Evaluate a Chebyshev series at points x. |

`chebval2d` (x, y, c) | Evaluate a 2-D Chebyshev series at points (x, y). |

`chebval3d` (x, y, z, c) | Evaluate a 3-D Chebyshev series at points (x, y, z). |

`chebgrid2d` (x, y, c) | Evaluate a 2-D Chebyshev series on the Cartesian product of x and y. |

`chebgrid3d` (x, y, z, c) | Evaluate a 3-D Chebyshev series on the Cartesian product of x, y, and z. |

`chebroots` (c) | Compute the roots of a Chebyshev series. |

`chebfromroots` (roots) | Generate a Chebyshev series with given roots. |

## Fitting

`chebfit` (x, y, deg[, rcond, full, w]) | Least squares fit of Chebyshev series to data. |

`chebvander` (x, deg) | Pseudo-Vandermonde matrix of given degree. |

`chebvander2d` (x, y, deg) | Pseudo-Vandermonde matrix of given degrees. |

`chebvander3d` (x, y, z, deg) | Pseudo-Vandermonde matrix of given degrees. |

## Calculus

`chebder` (c[, m, scl, axis]) | Differentiate a Chebyshev series. |

`chebint` (c[, m, k, lbnd, scl, axis]) | Integrate a Chebyshev series. |

## Algebra

`chebadd` (c1, c2) | Add one Chebyshev series to another. |

`chebsub` (c1, c2) | Subtract one Chebyshev series from another. |

`chebmul` (c1, c2) | Multiply one Chebyshev series by another. |

`chebmulx` (c) | Multiply a Chebyshev series by x. |

`chebdiv` (c1, c2) | Divide one Chebyshev series by another. |

`chebpow` (c, pow[, maxpower]) | Raise a Chebyshev series to a power. |

## Quadrature

`chebgauss` (deg) | Gauss-Chebyshev quadrature. |

`chebweight` (x) | The weight function of the Chebyshev polynomials. |

## Miscellaneous