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J0(3)                                   BSD Library Functions Manual                                   J0(3)

NAME
     j0, j1, jn, y0, y1, yn -- bessel functions of first and second kind

SYNOPSIS
     #include <math.h>

     double
     j0(double x);

     double
     j1(double x);

     double
     jn(int n, double x);

     double
     y0(double x);

     double
     y1(double x);

     double
     yn(int n, double x);

DESCRIPTION
     The functions j0(x) and j1(x) compute the Bessel function of the first kind of the order 0 and the
     order 1, respectively; the function jn(n, x) computes the Bessel function of the first kind of the
     integer order n.

     The functions y0(x) and y1(x) compute the linearly independent Bessel function of the second kind of
     the order 0 and the order 1, respectively, for the positive integer value x (expressed as a double);
     the function yn(n, x) computes the Bessel function of the second kind for the integer order n for the
     positive integer value x (expressed as a double).

SPECIAL VALUES
     j0(_) returns 1.

     j0(+-infinity) returns 0.

     j0(NaN) returns a NaN.

     j1(_) returns 0.

     j1(+infinity) returns 0.

     j1(NaN) returns a NaN.

     y0(_) , y1(_) , and yn(n, _) all return -infinity and raise the "division-by-zero" floating-point flag.

4th Berkeley Distribution                     December 11, 2006                    4th Berkeley Distribution

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