FLINT3.7.0-dev

_fmpz_poly_chebyshev_t, fmpz_poly_chebyshev_t, _fmpz_poly_chebyshev_u, fmpz_poly_chebyshev_u

Synopsis#include <flint/fmpz_poly.h>
void _fmpz_poly_chebyshev_t(fmpz * coeffs, ulong n)source
void fmpz_poly_chebyshev_t(fmpz_poly_t poly, ulong n)source
void _fmpz_poly_chebyshev_u(fmpz * coeffs, ulong n)source
void fmpz_poly_chebyshev_u(fmpz_poly_t poly, ulong n)source

Set poly to the Chebyshev polynomial of the first kind T_n, with T_n(\cos \theta) = \cos(n\theta), respectively of the second kind U_n = T'_{n+1}/(n + 1), for n \ge 0. The coefficients are computed by their hypergeometric recurrence. The underscore versions write n + 1 coefficients.

Cite this page

The FLINT team, “_fmpz_poly_chebyshev_t, fmpz_poly_chebyshev_t, _fmpz_poly_chebyshev_u, fmpz_poly_chebyshev_u (fmpz_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz_poly/_fmpz_poly_chebyshev_t.html (generated 2026-10-20).