Discrete fractional calculus and the Saalschutz theorem

DOI10.1016/J.BULSCI.2021.103086arXiv2008.11605WikidataQ113878792 ScholiaQ113878792MaRDI QIDQ6347785

Publication date: 26 August 2020

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.

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

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