Orthogonality relations for Al-Salam–Carlitz polynomials of type II

Groenevelt, W.G.M.

Orthogonality relations for Al-Salam–Carlitz polynomials of type II

Journal article (2015)

Authors

W.G.M. Groenevelt Analysis -

Research Group

Analysis () (TU Delft)

To reference this document use:

http://resolver.tudelft.nl/uuid:39cc9427-f8c8-4255-bfbd-638c3d5649a2

More Info

expand_more

Published Date

2015

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

By use of a special case of Slater’s q-beta integral evaluation formula, we determine orthogonality relations for the Al-Salam–Carlitz polynomials of type II with respect to a family of measures supported on a discrete subset of R. From spectral analysis of the corresponding second-order q-difference operator we obtain an infinite set of functions that complement the Al-Salam–Carlitz II polynomials to an orthogonal basis of the associated L2-space.