R
René F. Swarttouw
Researcher at VU University Amsterdam
Publications - 17
Citations - 3286
René F. Swarttouw is an academic researcher from VU University Amsterdam. The author has contributed to research in topics: Bessel function & Orthogonal polynomials. The author has an hindex of 9, co-authored 17 publications receiving 3043 citations. Previous affiliations of René F. Swarttouw include University of Amsterdam & Delft University of Technology.
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The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
Roelof Koekoek,René F. Swarttouw +1 more
TL;DR: The Askey-scheme of hypergeometric orthogonal polynomials was introduced in this paper, where the q-analogues of the polynomial classes in the Askey scheme are given.
Book
Hypergeometric Orthogonal Polynomials and Their q-Analogues
TL;DR: In this paper, Orthogonal Polynomial Solutions of Differential Equations of Real Difference Equations (DDEs) were used to solve Eigenvalue Problems. But they were not used in the context of orthogonal polynomials.
Journal ArticleDOI
On q-analogues of the Fourier and Hankel transforms
TL;DR: In this paper, the Hansen-Lommel type orthogonality relations, which are equivalent to the q-analogues of the Hankel integral transform pair, were derived.