A q-analogue of Graf's addition formula for the Hahn-Exton q-Bessel function
Erik Koelink, René F. Swarttouw
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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