`gr_chebyshev_t, gr_chebyshev_t_fmpz, gr_chebyshev_u, gr_chebyshev_u_fmpz`

Synopsis#include <flint/gr_special.h>

int gr_chebyshev_t(gr_ptr res, gr_srcptr n, gr_srcptr x, gr_ctx_t ctx)source

int gr_chebyshev_t_fmpz(gr_ptr res, const fmpz_t n, gr_srcptr x, gr_ctx_t ctx)source

int gr_chebyshev_u(gr_ptr res, gr_srcptr n, gr_srcptr x, gr_ctx_t ctx)source

int gr_chebyshev_u_fmpz(gr_ptr res, const fmpz_t n, gr_srcptr x, gr_ctx_t ctx)source

Set res to the Chebyshev polynomials $T_n(x)$ and $U_n(x)$ , for an integer $n$ (the _fmpz versions, which work in any ring) or $n$ in the ring (as hypergeometric functions in ball arithmetic).

Cite this page

The FLINT team, “gr_chebyshev_t, gr_chebyshev_t_fmpz, gr_chebyshev_u, gr_chebyshev_u_fmpz (gr_special.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_special/gr_chebyshev_t.html (generated 2026-11-02).

@misc{flint-doc-gr-special-gr-chebyshev-t,
  author       = {{The FLINT team}},
  title        = {{gr\_chebyshev\_t, gr\_chebyshev\_t\_fmpz, gr\_chebyshev\_u, gr\_chebyshev\_u\_fmpz (gr\_special.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/gr_special/gr_chebyshev_t.html},
  note         = {Generated 2026-11-02}
}

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