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Functions  -orthogonal with respect to their own zeros |
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| Authors: | Luis Daniel Abreu |
| Affiliation: | Department of Mathematics, Universidade de Coimbra, Coimbra, Portugal 3001-454 |
| Abstract: | In 1939, G. H. Hardy proved that, under certain conditions, the only functions satisfying   are the zeros of  , are the Bessel functions. We replace the above integral by the Jackson  -integral and give the  -analogue of Hardy's result. |
| Keywords: | $q$-difference equations $q$-Bessel functions $q$-integral. |
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