FLINT3.7.0-dev
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gr_jacobi_p, gr_gegenbauer_c, gr_laguerre_l, gr_hermite_h

Synopsis#include <flint/gr_special.h>
int gr_jacobi_p(gr_ptr res, gr_srcptr n, gr_srcptr a, gr_srcptr b, gr_srcptr z, gr_ctx_t ctx)source
int gr_gegenbauer_c(gr_ptr res, gr_srcptr n, gr_srcptr m, gr_srcptr z, gr_ctx_t ctx)source
int gr_laguerre_l(gr_ptr res, gr_srcptr n, gr_srcptr m, gr_srcptr z, gr_ctx_t ctx)source
int gr_hermite_h(gr_ptr res, gr_srcptr n, gr_srcptr z, gr_ctx_t ctx)source

Set res to the Jacobi polynomial P_n^{(a,b)}(z), the Gegenbauer polynomial C_n^{(m)}(z), the associated Laguerre polynomial L_n^{(m)}(z) or the Hermite polynomial H_n(z), extended to non-integer n as hypergeometric functions (as the corresponding acb_hypgeom functions).

Cite this page

The FLINT team, “gr_jacobi_p, gr_gegenbauer_c, gr_laguerre_l, gr_hermite_h (gr_special.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_special/gr_jacobi_p.html (generated 2026-10-20).