MATLAB: How to evaluate the derivatives of a Bessel function at different points

besselderivativeMATLAB

I would like to evaluate the derivatives of Bessel function, I would like to know if I can do this in MATLAB.

Best Answer

There is no direct function to calculate the value of the derivatives of a Bessel Function, however, one can use the following identity to get it:
 J(s-1)(z) - J(s+1)(z)  = 2J'(s)(z)
where s, s-1 and s+1 are the orders of the Bessel function and z is the point of evaluation. One can use similar identities for Hankel functions.
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