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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