A Note on the q-Derivative Operator

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jul 1993Embargo end date: 01 Aug 1999 Netherlands English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 176, pages 627-634 (issn: 0022-247X,

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Authors: Koekoek, J.; Koekoek, R.;

doi: 10.1006/jmaa.1993.1237 , 10.48550/arxiv.math/9908140

arXiv: math/9908140

A Note on the q-Derivative Operator

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Abstract

We prove a formula for the nth power of the q-derivative operator at x=0 for every function whose nth derivative at x=0 exists. We give a proof in both the real variable and the complex variable case.

7 pages

Country

Netherlands

Related Organizations

Delft University of Technology
Netherlands
Technical University Eindhoven
Netherlands

Keywords

Basic hypergeometric functions, \(q\)-derivative operator, Mathematics - Classical Analysis and ODEs, \(q\)-calculus and related topics, Applied Mathematics, 39A05 (Primary) 26A24 (Secondary), Classical Analysis and ODEs (math.CA), FOS: Mathematics, Analysis

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