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arXiv · 1701.00544

Binomial transform of products

Khristo N. Boyadzhiev
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Abstract

Given two infinite sequences with known binomial transforms, we compute the binomial transform of the product sequence. Various identities are obtained and numerous examples are given involving sequences of special numbers: Harmonic numbers, Bernoulli numbers, Fibonacci numbers, and also Laguerre polynomials.

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Khristo N. Boyadzhiev. 2017-01-02. Binomial transform of products. https://arxiv.org/abs/1701.00544

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