besseli

Syntax

[i,ierr] = besseli(alpha, x, opt)

Inputs

alpha: The function order.; Type: double; Dimension: scalar | vector | matrix
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(-abs(imag(x))).; Dimension: scalar | vector | matrix

Outputs

i

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:

i = besseli(3,[10:12;13:15])

i = [Matrix] 2 x 3
 1758.38072   4757.92757   12832.89304
34537.96038  92820.61916  249218.41965

Scaled example:

i = besseli(3,[10:12;13:15],1)

i = [Matrix] 2 x 3
0.07983  0.07947  0.07885
0.07807  0.07718  0.07624

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.