I = besseli(alpha,x)
E = besseli(alpha,x,1)
I = besseli(alpha,x)
computes modified Bessel functions of the first kind for real, non-negative order alpha
and argument x
. If alpha
is a scalar and x
is a vector, I
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 I
is an m
-by-n
matrix and I(i,k)
is besseli(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.
E = besseli(alpha,x,1)
computes besseli(alpha,x).*exp(-x)
.
The relationship between the modified Bessel function of the first kind I
and the Bessel function of the first kind J
is
besseli
uses three-term backward recurrence for most x
, and an asymptotic expansion for large x
.
bessel
,besselj
,besselk
,bessely
(c) Copyright 1994 by The MathWorks, Inc.