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by H. T. Koelink, R. F. Swarttouw
http://www.wins.uva.nl/pub/mathematics/reports/Analysis/koelink/HEaddGraf.ps
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Abstract:
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. 1.
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