A Digital Binomial Theorem for Sheffer Sequences

Toufik Mansour; Hieu D. Nguyen

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arXiv · 1510.08529

A Digital Binomial Theorem for Sheffer Sequences

Toufik Mansour·Hieu D. Nguyen

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Abstract

We extend the digital binomial theorem to Sheffer polynomial sequences by demonstrating that their corresponding Sierpiński matrices satisfy a multiplication property that is equivalent to the convolution identity for Sheffer sequences.

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Toufik Mansour, Hieu D. Nguyen. 2015-10-29. A Digital Binomial Theorem for Sheffer Sequences. https://arxiv.org/abs/1510.08529

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