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arxiv: math/9404217 · v1 · submitted 1994-04-11 · 🧮 math.CA · math.QA

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

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keywords formulaadditionfunctionbesselgrafhahn-extonproductanalytically
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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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