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Derivative of Bessel Function in Matlab

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txzzc1982

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hi there,

i'd like to know how to get the derivative of first kind Bessel Function and the derivative of second kind of Bessel function in Matlab.

Thanks!
 

Please explain.
Do you need to obtain symbolic expressions or to perform numerical calculation?
Regards
Z
 

I need to perform numerical calculation like you said
thanks
CZ
 

See **broken link removed**
it should calculate the derivative of Bessel of first and second kind!
 

Hi,

Exact formulas for the derivatives can be obtained symbolically. With symbolic toolbox in Matlab, the following lines give it for the first kind (put besselk for the second kind):

syms z;
syms nu;
diff(besselj(nu,z),z)

The results are:

-besselj(nu+1,z)+nu/z*besselj(nu,z)
-besselk(nu+1,z)+nu/z*besselk(nu,z)

(The same can be found in math books or tables.)
Then, use built-in besselj and besselk functions.
I hope this is what you need.
Regards

Z
 
Hi zorro,
what if "z" is also a function of two variables, for example, z(x,y)? thanks...
 

Hi ozly,

Then the above is still valid.
If what you want are the derivatives with respect to x and y, then apply the chain rule.
Regards

Z
 

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