MATLAB Function Reference Volume 1: A - E - Bad Request

esselj, bessely
2-142
and the other is a column vector, the result is a two-dimensional table of
function values.
Y = bessely(nu,Z) computes Bessel functions of the second kind, Y ν( z)
, for
real, nonnegative order nu and argument Z.
J = besselj(nu,Z,1) computes besselj(nu,Z).*exp(-abs(imag(Z))).
Y = bessely(nu,Z,1) computes bessely(nu,Z).*exp(-abs(imag(Z))).
[J,ierr] = besselj(nu,Z) and [Y,ierr] = bessely(nu,Z) also return an
array of error flags:
ierr = 1 Illegal arguments.
ierr = 2 Overflow. Return Inf.
Remarks The Bessel functions are related to the Hankel functions, also called Bessel
functions of the third kind,
where Jν( z)
is besselj, and Y ν( z)
is bessely. The Hankel functions also form
a fundamental set of solutions to Bessel’s equation (see besselh).
Examples format long
z = (0:0.2:1)';
ierr = 3 Some loss of accuracy in argument reduction.
ierr = 4 Unacceptable loss of accuracy, Z or nu too large.
ierr = 5 No convergence. Return NaN.
( 1)
Hν ( z)
= Jν( z)
+ i Yν( z)
( 2)
Hν ( z)
= Jν( z)
– i Yν( z)
besselj(1,z)
ans =
0
0.09950083263924