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Padé approximants are often better than Taylor series at representing a function. Given a Taylor series, one can use Wynn's epsilon algorithm to easily produce the Padé approximants to it.

Volterra series are a generalization of Taylor series that can also model "memory" phenomena. Does there exist a similar generalization of Padé approximants that can model these phenomena, or an algorithm like Wynn's to compute them from the Volterra series?

Sambo
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  • I just got a notification that this question was closed, for some reason, five years (!) after I asked it. What edits are needed here? The question seems perfectly clear: I'm looking for standard methods to build rational functions that approximate Volterra series, much like Padé approximants approximate Taylor series. How could this question possibly get any clearer? – Mike Battaglia May 17 '25 at 23:57

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