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A q-Analogue of Graf′s Addition Formula for the Hahn-Exton q-Bessel Function

✍ Scribed by H.T. Koelink; R.F. Swarttouw


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
397 KB
Volume
81
Category
Article
ISSN
0021-9045

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✦ Synopsis


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. 1995 Academic Press, Inc