Small approximation of the Derivative of the Bessel functionby KyleS4562 Tags: approximation, bessel, derivative, function 

#1
Nov1812, 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 J_{n}'(x) for small values of x (x<<1). I know that J_{n}(x) is (x)^{n}/(2^{n}*n!). What is it for the derivative? 



#2
Nov1912, 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. 



#3
Nov1912, 07:26 AM

P: 18

Thank You!!!



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