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Sheffer sequence
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{{Use American English|date = March 2019}} {{Short description|Type of polynomial sequence}} In [[mathematics]], a '''Sheffer sequence''' or '''poweroid''' is a [[polynomial sequence]], i.e., a [[sequence]] {{math|(''p''<sub>''n''</sub>(''x'') : ''n'' {{=}} 0, 1, 2, 3, ...)}} of [[polynomial]]s in which the index of each polynomial equals its [[degree of a polynomial|degree]], satisfying conditions related to the [[umbral calculus]] in [[combinatorics]]. They are named for [[Isador M. Sheffer]].
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