S_ihn

Spherical Hankel function of the first kind, order n.

Loading LOADSUB ALL FROM "BESMC.HTS"

or LOADSUB FROM "MATHLIB.HTS"

Usage INTEGER N

REAL X,Y

Y=FNS_ihn(N,X)

Description

FNS_ihn returns the value of the modified spherical Bessel function of the first or second kind and order n+½ of x, in+½(x). The function is called a function of the first kind if n is positive and a function of the second kind if n is negative. In+½(x) is defined for all values of n and for all positive values of x. If n is positive or zero, in+½(x) is also defined for x = 0.

Errors

FNS_ihn causes an HTBasic error if its arguments are not of the types shown in the USAGE section, above, or if x is out of the range of definition explained above.

in+½(x)

See Also S_in, S_khn

Note

The algorithm used computes the value of in+½ using a recursion from the values of i½ and i1½. The computation time increases with n and the computation accuracy decreases with n.