Binomial transform of products
Number Theory
2017-01-04 v1
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.
Keywords
Cite
@article{arxiv.1701.00544,
title = {Binomial transform of products},
author = {Khristo N. Boyadzhiev},
journal= {arXiv preprint arXiv:1701.00544},
year = {2017}
}
Comments
16 pages