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Functions q-orthogonal with respect to their own zeros
(Preprint)
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<Reference List>
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Type:
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Preprint
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National /International:
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International
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| Title: |
Functions q-orthogonal with respect to their own zeros
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Publication Date:
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2004
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Authors:
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- Luís Daniel Abreu
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Abstract:
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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.
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Institution:
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DMUC 04-32
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Online version:
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http://www.mat.uc.pt...prints/eng_2004.html
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Download:
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Not available
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