| MATLAB Functions | Help Desk |
besselh
Bessel functions of the third kind (Hankel functions)
H = besselh(nu,K,Z) H = besselh(nu,Z) H = besselh(nu,1,Z,1) H = besselh(nu,2,Z,1) [H,ierr] = besselh(...)The differential equation
where 
is a nonnegative constant, is called Bessel's equation, and its solutions are known as Bessel functions. 
and 
form a fundamental set of solutions of Bessel's equation for noninteger . 
is a second solution of Bessel's equation--linearly independent of 
-- defined by:
The relationship between the Hankel and Bessel functions is:
H = besselh(nu,K,Z)
for K = 1 or 2 computes the Hankel functions 
or 
for each element of the complex array Z. If nu and Z are arrays of the same size, the result is also that size. If either input is a scalar, it is expanded to the other input's size. If one input is a row vector and the other is a column vector, the result is a two-dimensional table of function values.
H = besselh(nu,Z)
uses K = 1.
H = besselh(nu,1,Z,1)
scales 
by exp(-i*z).
H = besselh(nu,2,Z,1)
scales 
by exp(+i*z).
[H,ierr] = besselh(...)
also returns an array of error flags:| Illegal arguments. | |
Overflow. Return Inf.
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| Some loss of accuracy in argument reduction. | |
Unacceptable loss of accuracy, Z or nu too large.
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No convergence. Return NaN.
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