besselh

Syntax

[h,ierr] = besselh(alpha, k, x, opt)

Inputs

alpha: The function order.; Type: double; Dimension: scalar | vector | matrix
k: The function kind, either 1 or 2.; Dimension: scalar
x: The function argument.; Type: double | complex; Dimension: scalar | vector | matrix
opt: The scaling option.; If set to 1 or true the result contains a factor of exp(-ix) when k = 1 or exp(ix) when k = 2.; Dimension: scalar | vector | matrix

Outputs

h

The Bessel function values.

Dimension: scalar | vector | matrix

ierr

The return status flag.

Dimension: scalar | vector | matrix

info = 0: Successful return.
info = 1: Input error, returned NaN.
info = 2: Overflow condition, returned Inf.
info = 3: Calculation has lost at least half of machine accuracy.
info = 4: Calculation has lost significance, returned NaN.
info = 5: Algorithm failed to converge, returned NaN.

Examples

Unscaled example:

h = besselh(3,1,[10:12;13:15])

h = [Matrix] 2 x 3
0.05838 - 0.25136i   0.22735 - 0.09148i   0.19514 + 0.12901i
0.00332 + 0.22420i  -0.17681 + 0.12350i  -0.19402 - 0.07511i

Scaled example:

h = besselh(3,2,[10:12;13:15],1)

h = [Matrix] 2 x 3
0.08776 - 0.24267i  0.09249 - 0.22694i  0.09545 - 0.21357i
0.09721 - 0.20206i  0.09817 - 0.19204i  0.09855 - 0.18323i

Comments

If alpha and x have different dimensions, a singleton dimension in either variable is expanded to match the corresponding dimension length of the other variable.