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arxiv: 1510.08529 · v1 · pith:MHCA6642new · submitted 2015-10-29 · 🧮 math.NT

A Digital Binomial Theorem for Sheffer Sequences

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keywords sequencesshefferbinomialdigitaltheoremconvolutioncorrespondingdemonstrating
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We extend the digital binomial theorem to Sheffer polynomial sequences by demonstrating that their corresponding Sierpi\'nski matrices satisfy a multiplication property that is equivalent to the convolution identity for Sheffer sequences.

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