CodeCogs

BesselJ order reduction through backward recurrence.

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Interface

#include <codecogs/maths/special/bessel/j/j_recurrence.h>

using namespace Maths::Special::Bessel::J;

Reduces the order of a Bessel function using backward recurrence,

$J_{v-1}(x) = \frac{2v}{x} J_v(x) - J_{v+1}(x)$

(1)

Cephes Math Library Release 2.8: June, 2000

input argument.

current order.

newv

new order.

cancel

return the larger of the last two iterates on the theory that it may have less cancellation error.

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newv

cancel

Result –