Small approximation of the Derivative of the Bessel function

by KyleS4562
Tags: approximation, bessel, derivative, function
KyleS4562 is offline
Nov18-12, 10:46 AM
P: 18
Hi everyone,

I have an equation that contains the derivative of the Bessel Function of the first kind. I need to evaluate Jn'(x) for small values of x (x<<1). I know that Jn(x) is (x)n/(2n*n!). What is it for the derivative?
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JJacquelin is offline
Nov19-12, 04:18 AM
P: 745
Hi !

You can derivate the series expansion or alternatively expand the formal derivative. Both methods leads to the same result.
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KyleS4562 is offline
Nov19-12, 07:26 AM
P: 18
Thank You!!!

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