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On the Zeros of the Hahn-Exton q-Bessel Function and Associated q-Lommel Polynomials

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


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
631 KB
Volume
186
Category
Article
ISSN
0022-247X

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A q-Analogue of Grafβ€²s Addition Formula
✍ H.T. Koelink; R.F. Swarttouw πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 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