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I'm doing some analysis which includes computing the sequence for some $f(t)$: $\left\{{f(t_0), \left.\frac{df}{dt}\right|_{t=t_0}}, \left.\frac{d^2f}{dt^2}\right|_{t=t_0}, \ldots ,\left.\frac{d^nf}{dt^n}\right|_{t=t_0} \right\}$, where n is some finite number. Given its strong connection to Taylor series and its really useful properties, I'm thinking it probably has been given a name, but I can't seem to find one.

Does that series have a well recognized name (such that I could search for it to find additional properties)

Cort Ammon
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  • Isn't this actually the Taylor series centred at $0$, or the Mclaurin series? Like, coefficients of the series times the factorial – UmbQbify Jul 31 '20 at 02:36
  • @UmbQbify-Key20- The Taylor series includes not just these terms, but a factorial and a $(t-t_0)^k$ term. – Cort Ammon Jul 31 '20 at 03:46
  • The way all these series are called sequences of some real numbers, I don't think there is a special name for that – UmbQbify Jul 31 '20 at 04:13

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