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A q-analogue of Graf's addition formula for the Hahn-Exton q-Bessel function

Erik Koelink·René F. Swarttouw
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Abstract

An addition and product formula for the Hahn-Exton $q$-Bessel function, previously obtained by use of a quantum group theoretic interpretation, are proved analytically. A (formal) limit transition to the Graf addition formula and corresponding product formula for the Bessel function is given.

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Erik Koelink, René F. Swarttouw. 1994-04-11. A q-analogue of Graf's addition formula for the Hahn-Exton q-Bessel function. https://arxiv.org/abs/math/9404217

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