Small approximation of the Derivative of the Bessel function

KyleS4562
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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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Hi !

You can derivate the series expansion or alternatively expand the formal derivative. Both methods leads to the same result.
 

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Thank You!
 
Thread 'Direction Fields and Isoclines'

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