◆ cbesh()

Sequence of Hankel functions H_ν^(m)(z) (fractional order)

Purpose: cbesh computes the sequence of the Hankel functions Hν(m)(z) for superscript m = 1 or 2, real nonnegative orders ν, ν+1, ... , and nonzero complex argument z.
A scaling option is available to help avoid overflow.

Parameters

[in]	z	Argument z. (z != 0)
[in]	nu	Order of first member of the sequence. (nu >= 0)
[in]	kode	A parameter to indicate the scaling option. = 1: No scaling. = 2: Returns exponentially scaled values.
[in]	m	Superscript of Hankel function. (m = 1 or 2)
[in]	n	Number of members in the sequence. (n members of orders nu to nu+n-1 to be computed) (n >= 1)
[out]	y[]	Array y[ly] (ly >= n) Sequence of the Hankel functions. kode = 1: Hν(m)(z) (ν = nu to nu+n-1) kode = 2: exp(-(3-2m)zi)*Hν(m)(z) (ν = nu to nu+n-1)
[out]	info	= 0: Successful exit. = -1: The argument z had an illegal value. (z = 0) = -2: The argument nu had an illegal value. (nu < 0) = -3: The argument kode had an illegal value. (kode != 1 and kode != 2) = -4: The argument m had an illegal value. (m != 1 and m != 2) = -5: The argument n had an illegal value. (n < 1) = nz (0 < nz <= n): The last nz components of y[] set to zero due to underflow. = n+1: Precision warning. (Half precision or less because abs(z) or nu+n-1 is large) = n+2: Precision error. (No precision because abs(z) or nu+n-1 is too large) = n+3: Overflow abs(z) too small and/or nu+n-1 too large. = n+4: Algorithmic error. (Termination condition not met)