ChapterH1n

H1n

Hankel function of the first kind, order n.

Loading LOADSUB ALL FROM "BESRC.HTS"

or LOADSUB FROM "MATHLIB.HTS"

Usage INTEGER N

REAL X

COMPLEX C

C=FNH1n(N,X)

Description

FNH1n returns the value of the Hankel function of the first kind and order n of x, Hn(1)(x). For positive values of x, the real component of the value returned contains Jn(x) and the imaginary component contains Yn(x). For negative values of x, the real component contains (-1)n+1Jn(x) and the imaginary component contains (-1)nYn(x).

Errors

FNH1n causes an HTBasic error if its arguments are not of the types shown in the USAGE section, above. It also causes an error if the value of x is near zero, since the imaginary component of Hn(1)(0) is -.

See Also

H10, H11, H2n, J0, J1, Y0, Y1

Note

The algorithm used computes the value of Hn(1) using a recursion from the values of H0(1) and H1(1). The computation time increases with n and the computation accuracy decreases with n.

Hn(1)(x)

Arg[Hn(1)(x)], degrees