4.2 Article

Discrete fractional calculus and the Saalschutz theorem

Journal

BULLETIN DES SCIENCES MATHEMATIQUES
Volume 174, Issue -, Pages -

Publisher

ELSEVIER
DOI: 10.1016/j.bulsci.2021.103086

Keywords

Fractional differences; Leibniz rule; Saalschutz's theorem

Funding

  1. Fundacao para a Ciencia e a Tecnologia (FCT) [CEECIND/00640/2017]

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In this work, a novel proof of the Saalschutz formula is presented using the theory of discrete fractional calculus. The proofs of some results within this theory, including the fractional power rule and the fractional Leibniz rule, are revisited.
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. (c) 2021 Elsevier Masson SAS. All rights reserved.

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