Discrete fractional calculus and the Saalschutz theorem
Classical Analysis and ODEs
2022-03-31 v3
Abstract
In this work we present a novel proof of the Saalschutz formula by using the theory of discrete fractional calculus. The proofs of some results within this theory, namely, the fractional power rule and the fractional Leibniz rule are revisited.
Keywords
Cite
@article{arxiv.2008.11605,
title = {Discrete fractional calculus and the Saalschutz theorem},
author = {Rui A. C. Ferreira},
journal= {arXiv preprint arXiv:2008.11605},
year = {2022}
}
Comments
Two typos detected: in Theorem 3.10, $\alpha\in\mathbb{R}\backslash\mathbb{N}^{0}$, and, in page 9, line 6, substitute $(\alpha)^{\underline{n}}$ by $(\alpha)_n$