ChapterHh1n

Hh1n

Hankel function of the first kind, order n+½.

Loading LOADSUB ALL FROM "BESRS.HTS"

or LOADSUB FROM "MATHLIB.HTS"

Usage INTEGER N

REAL X

COMPLEX C

C=FNHh1n(N,X)

Description

FNHh1n returns the value of the cylindrical Hankel function of the first kind and order n+½ of x, Hn+½(1)(x). Hn+½(1)(x) is defined for all values of n and for all positive values of x.

Hn+½(1)(x) is sometimes also called the cylindrical Bessel function of the third kind, order n+½.

Errors

FNHh1n causes an HTBasic error if its arguments are not of the types shown in the USAGE section, above, or if x is negative or zero.

See Also

Hh2n

Note

The algorithm used computes the value of Hn+½(1) using a recursion from the values of H½(1) and H1½(1). The computation time increases with n and the computation accuracy decreases with n.

Hn+½(1)(x)

Arg[Hn+½(1)(x)], degrees