S_kn

Modified spherical Bessel function of the third kind, order n.

Loading LOADSUB ALL FROM "BESMS.HTS"

or LOADSUB FROM "MATHLIB.HTS"

Usage INTEGER N

REAL X,Y

Y=FNS_kn(N,X)

Description

FNS_kn returns the value of the modified spherical Bessel function of the third kind and order n of x, kn(x). Kn(x) is defined for all values of x and n except x = 0, but large negative values of x or values of x near zero may cause the result to be larger in magnitude than MAXREAL, the largest value representable.

Errors

FNS_kn causes an HTBasic error if its arguments are not of the types listed in the usage section, above, if x is zero, or if the result would be larger than MAXREAL.

kn(x)

See Also S_in, S_imn, S_k0, S_k1

Note

The algorithm used computes the value of kn using a recursion from the values of k0 and k1. The computation time increases with n and the computation accuracy decreases with n.