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