Talk:Generating Function for Natural Numbers

You're so boundlessly clever, you explain why it's valid to differentiate term by term. --prime mover (talk) 21:17, 1 May 2013 (UTC)


 * Yep, fair enough, that works. To be fair, the radius of convergence is not important in generating functions, as long as it is established that there is one. --prime mover (talk) 22:48, 1 May 2013 (UTC)

If the sequence is defined as $a_1 = 1$, then why isn't the generating function:
 * $\dfrac z {\left({1 - z}\right)^2}$

? --kc_kennylau (talk) 07:15, 29 December 2016 (EST)


 * We should have $a_i = i$. Either start with $a_0 = 0$ and have the indices of summation start at $0$, or start with $a_1 = 1$ and have the indices of summation all start with $1$. --GFauxPas (talk) 11:31, 29 December 2016 (EST)