FNJhnreturns the value of the cylindrical Bessel function of the first kind and ordern+½ ofx,Jn+½(x).Jn+½(x) is defined for all values ofnand for all positive values ofx. Ifnis positive or zero,Jn+½(x) is also defined forx= 0.
Errors
FNJhncauses an HTBasic error if its arguments are not of the types shown in the USAGE section, above, or ifxis out of the range of definition explained above.
See Also
Hh1n, Hh2n, Jn, Yhn
Jn+½(x)
The algorithm used computes the value ofJn+½ using a recursion from the values ofJ½ andJ1½. The computation time increases withnand the computation accuracy decreases withn.