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A q-Analogue of Capelli′s Identity for GL(2)

✍ Scribed by T. Hibi; M. Wakayama


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
143 KB
Volume
115
Category
Article
ISSN
0001-8708

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A q-Analogue of Graf′s Addition Formula
✍ H.T. Koelink; R.F. Swarttouw 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 397 KB

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