mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
51 lines
1.2 KiB
C
51 lines
1.2 KiB
C
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/*
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Copyright (C) 2016 Fredrik Johansson
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This file is part of Arb.
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Arb is free software: you can redistribute it and/or modify it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include "arb_hypgeom.h"
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static void
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airy_recurrence(arb_ptr ai, const arb_t z, slong len, slong prec)
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{
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slong k;
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if (len >= 3)
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{
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arb_mul(ai + 2, ai, z, prec);
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arb_mul_2exp_si(ai + 2, ai + 2, -1);
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}
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for (k = 3; k < len; k++)
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{
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arb_mul(ai + k, ai + k - 2, z, prec);
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arb_add(ai + k, ai + k, ai + k - 3, prec);
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arb_div_ui(ai + k, ai + k, k * (k - 1), prec);
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}
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}
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void
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arb_hypgeom_airy_jet(arb_ptr ai, arb_ptr bi, const arb_t z, slong len, slong prec)
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{
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if (len <= 0)
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return;
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if (len == 1)
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{
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arb_hypgeom_airy(ai, NULL, bi, NULL, z, prec);
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return;
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}
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arb_hypgeom_airy(ai, ai ? (ai + 1) : NULL, bi, bi ? (bi + 1) : NULL, z, prec);
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if (ai != NULL) airy_recurrence(ai, z, len, prec);
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if (bi != NULL) airy_recurrence(bi, z, len, prec);
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}
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