bessel SciMax Toolbox bessel_j

SciMax Toolbox >> bessel_i

bessel_i

Maxima Function

Calling Sequence

bessel_i (v, z)

Description

The modified Bessel function of the first kind of order v and argument z.

bessel_i computes the array besselarray such that besselarray [i] = bessel_i [i + v - int(v)] (z) for i from zero to int(v).

bessel_i is defined as

inf
====   - v - 2 k  v + 2 k
\     2          z
 >    -------------------
/     k! gamma(v + k + 1)
====
k = 0
although

the infinite series is not used for computations.

bessel SciMax Toolbox bessel_j