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Small approximation of the Derivative of the Bessel function

by KyleS4562
Tags: approximation, bessel, derivative, function
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KyleS4562
#1
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
#2
Nov19-12, 04:18 AM
P: 756
Hi !

You can derivate the series expansion or alternatively expand the formal derivative. Both methods leads to the same result.
Attached Thumbnails
DerivApproxJn.JPG  
KyleS4562
#3
Nov19-12, 07:26 AM
P: 18
Thank You!!!


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