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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.
 
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