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S_hh1n
Spherical Hankel function of the first kind, order n+½.
 
Loading        LOADSUB ALL FROM "BESRC.HTS"
or LOADSUB FROM "MATHLIB.HTS"
 
Usage                INTEGER N
REAL X
COMPLEX C
C=FNS_hh1n(N,X)
 
Description                
FNS_hh1n returns the value of the spherical 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 spherical Bessel function of the third kind, order n.
 
Errors                
FNS_hh1n 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
S_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