How to obtain explicit formula of coefficients for generating functions

asked 2023-06-16 21:21:58 +0100

rjda gravatar image

Is there any function to obtain an explicit formula of coefficients for generating functions I mean a formula for nth coefficient without specifying any value for n

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For example: $$\left.\frac1{n!} \left(\frac{d}{dx}\right)^n f(x)\right|_{x=0}$$ Is this what you mean?

Max Alekseyev gravatar imageMax Alekseyev ( 2023-06-18 21:54:34 +0100 )edit