Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Functions q-orthogonal with respect to their own zeros
Publication Date:	2004
Authors:	- Luís Daniel Abreu
Abstract:	In [4], G. H. Hardy proved that, under certain conditions, the only functions satisfying $$\int_0^1 f(\lambda_m t)f(\lambda_n t) dt=0,$$ where the $\lambda_n$'s are the zeros of f, are the Bessel functions. We replace the above integral by the Jackson q-integral and give the q-analogue of Hardy's result.
Institution:	DMUC 04-32
Online version:	http://www.mat.uc.pt...prints/eng_2004.html
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