FLINT3.7.0-dev
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arb_hypgeom_chebyshev_t, arb_hypgeom_chebyshev_u, arb_hypgeom_jacobi_p, arb_hypgeom_gegenbauer_c, arb_hypgeom_laguerre_l, arb_hypgeom_hermite_h

Synopsis#include <flint/arb_hypgeom.h>
void arb_hypgeom_chebyshev_t(arb_t res, const arb_t nu, const arb_t z, slong prec)source
void arb_hypgeom_chebyshev_u(arb_t res, const arb_t nu, const arb_t z, slong prec)source
void arb_hypgeom_jacobi_p(arb_t res, const arb_t n, const arb_t a, const arb_t b, const arb_t z, slong prec)source
void arb_hypgeom_gegenbauer_c(arb_t res, const arb_t n, const arb_t m, const arb_t z, slong prec)source
void arb_hypgeom_laguerre_l(arb_t res, const arb_t n, const arb_t m, const arb_t z, slong prec)source
void arb_hypgeom_hermite_h(arb_t res, const arb_t nu, const arb_t z, slong prec)source

Sets res to the Chebyshev polynomial Tν(z)T_\nu(z) or Uν(z)U_\nu(z), the Jacobi polynomial Pn(a,b)(z)P_n^{(a,b)}(z), the Gegenbauer polynomial Cnm(z)C_n^{m}(z), the Laguerre polynomial Lnm(z)L_n^{m}(z) or the Hermite polynomial Hν(z)H_\nu(z), or their extensions to non-integer degree. Wrappers of the functions of the same name in acb_hypgeom, which give the definitions.

Cite this page

The FLINT team, “arb_hypgeom_chebyshev_t, arb_hypgeom_chebyshev_u, arb_hypgeom_jacobi_p, arb_hypgeom_gegenbauer_c, arb_hypgeom_laguerre_l, arb_hypgeom_hermite_h (arb_hypgeom.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_hypgeom/arb_hypgeom_chebyshev_t.html (generated 2026-11-02).