FLINT3.7.0-dev
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gr_rising, gr_rising_ui, gr_falling, gr_falling_ui

Synopsis#include <flint/gr_special.h>
int gr_rising(gr_ptr res, gr_srcptr x, gr_srcptr y, gr_ctx_t ctx)source
int gr_rising_ui(gr_ptr res, gr_srcptr x, ulong y, gr_ctx_t ctx)source
int gr_falling(gr_ptr res, gr_srcptr x, gr_srcptr y, gr_ctx_t ctx)source
int gr_falling_ui(gr_ptr res, gr_srcptr x, ulong y, gr_ctx_t ctx)source

Set res to the rising factorial x(x+1)⋯(x+y−1)x (x+1) \cdots (x+y-1) and the falling factorial x(x−1)⋯(x−y+1)x (x-1) \cdots (x-y+1), or their extensions Γ(x+y)/Γ(x)\Gamma(x+y)/\Gamma(x) and Γ(x+1)/Γ(x−y+1)\Gamma(x+1)/\Gamma(x-y+1) to non-integer yy.

Cite this page

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