FLINT3.7.0-dev
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_fmpq_poly_laguerre_l

Synopsis#include <flint/fmpq_poly.h>
void _fmpq_poly_laguerre_l(fmpz * coeffs, fmpz_t den, ulong n)source

Sets coeffs to the coefficient array of the Laguerre polynomial Ln(x)L_n(x), defined by (n+1)Ln+1(x)=(2n+1−x)Ln(x)−nLn−1(x)(n+1) L_{n+1}(x) = (2n+1-x) L_n(x) - n L_{n-1}(x), for n≥0n\ge0. Sets den to the overall denominator. The coefficients are calculated using a hypergeometric recurrence. The length of the array will be n+1.

Cite this page

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