Manual Pages for UNIX Darwin command on man j1
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Manual Pages for UNIX Darwin command on man j1

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

NAME

jj00, jj11, jjnn, yy00, yy11, yynn - bessel functions of first and second kind

SYNOPSIS

##iinncclluuddee <>

double jj00(double x); double

jj11(double x);

double jjnn(int n, double x); double yy00(double x); double yy11(double x); double yynn(int n, double x);

DESCRIPTION

The functions jj00(x) and jj11(x) compute the Bessel function of the first

kind of the order 0 and the order 1, respectively; the function jjnn(n, x) computes the Bessel function of the first kind of the integer order n. The functions yy00(x) and yy11(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 yynn(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). SSPPEECCIIAALL VVAALLUUEESS jj00(0) returns 1.

jj00(+-infinity) returns 0.

jj00(NaN) returns a NaN.

jj11(0) returns 0.

jj11(+infinity) returns 0.

jj11(NaN) returns a NaN.

yy00(0) , yy11(0) , and yynn(n, 0) all return -infinity and raise the "divi-

sion-by-zero" floating-point flag.

4th Berkeley Distribution July 24, 2003 4th Berkeley Distribution




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