j13
Bessel functions of first and second kind
Part of j0(3).
Usage
double
float
double
float
double
float
double
float
double
float
double
float
Library
Math Library (libm, -lm)
Overview
The functions j0(), j0f(), j1(), and j1f() compute the Bessel function of the first kind of orders 0 and 1 for the real value x; the functions jn() and jnf() compute the Bessel function of the first kind of the integer order n for the real value x.
The functions y0(), y0f(), y1(), and y1f() compute the linearly independent Bessel function of the second kind of orders 0 and 1 for the positive real value x; the functions yn() and ynf() compute the Bessel function of the second kind for the integer order n for the positive real value x.
Return values
These routines return values of their respective Bessel functions. For large positive inputs, they may underflow and return 0.
The following applies to y0(), y0f(), y1(), y1f(), yn(), and ynf(). If x is negative, including -, these routines will generate an invalid exception and return . If x is 0, these routines will generate a divide-by-zero exception and return -. If x is a sufficiently small positive number, then y1(), y1f(), yn(), and ynf() will generate an overflow exception and return -.
History
- FreeBSD 16.0-CURRENT (2026-10-27) to FreeBSD 15.0-RELEASE: the text shown here
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