K = besselk(alpha,x)
K = besselk(alpha,x,1)
K = besselk(alpha,x)
computes modified Bessel functions of the second kind for real, non-negative order alpha
and argument x
. If alpha
is a scalar and x
is a vector, K
is a vector the same length as x
. If x
is a vector of length m
and alpha
is a vector of length n
, then K
is an m
-by-n
matrix and K(i,k)
is besselk(alpha(k), x(i))
. The elements of x
can be any nonnegative real values, in any order. For alpha
, the increment between elements must be 1, and all elements must be between 0 and 1000, inclusive.
The relationship between K
and the ordinary Bessel functions J
and Y
is
K = besselk(alpha,x,1)
computes besselk(alpha,x).*exp(-x)
.
besselk
algorithm is based on a FORTRAN program by W.J. Cody and L. Stoltz, Applied Mathematics Division, Argonnne National Laboratory, dated May 30, 1989.
bessel
,besseli
,besselj
,bessely
(c) Copyright 1994 by The MathWorks, Inc.