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/*
Copyright (C) 2021 Fredrik Johansson
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "arb.h"
#include "arb_hypgeom.h"
void
arb_hypgeom_gamma_upper_integration(arb_t res, const arb_t s,
const arb_t z, int regularized, slong prec)
{
arb_t t, u;
arb_init(t);
arb_init(u);
arb_one(t);
arb_add_ui(u, s, 1, prec);
arb_hypgeom_u_integration(u, t, u, z, prec);
if (arb_is_finite(u))
{
if (regularized != 2)
{
arb_pow(t, z, s, prec);
arb_mul(u, u, t, prec);
if (regularized == 1)
{
arb_rgamma(t, s, prec);
arb_mul(u, u, t, prec);
}
}
arb_neg(t, z);
arb_exp(t, t, prec);
arb_mul(res, t, u, prec);
}
else
{
arb_indeterminate(res);
}
arb_clear(t);
arb_clear(u);
}