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MathsSpecialBessel

J

J

Bessel function of the first kind of integer order.
double J (double x, int v)[inline]
double J (double x, double v)
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J0

Bessel function of the first kind, with order zero and exponential scaling.
double J0 (double x)

J1

Bessel function of the first kind, with order one.
double J1 (double x)

J Expansion

Asymptotic expansion of bessel J for large v.
double J_expansion (double x, double v)

J Nt

Asymptotic expansion of bessel J for transition region
double J_nt (double x, double v)

J Recurrence

BesselJ order reduction through backward recurrence.
double J_recurrence (double x, double &v, double &newv, bool cancel)

J Series

Ascending power series approximation of Bessel function of the first kind.
double J_series (double x, double v)