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A basic analogue of graf's addition formula and related formulas

✍ Scribed by Koelink, H. T.

Book ID
120533467
Publisher
Taylor and Francis Group
Year
1993
Tongue
English
Weight
567 KB
Volume
1
Category
Article
ISSN
1065-2469

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πŸ“œ SIMILAR VOLUMES

A q-Analogue of Grafβ€²s Addition Formula
A q-Analogue of Grafβ€²s Addition Formula for the Hahn-Exton q-Bessel Function
✍ 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

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We derive an explicit formula, with no cancellations, for expanding in the basis of Grothendieck polynomials the product of two such polynomials, one of which is indexed by an arbitrary permutation, and the other by a simple transposition; hence, this is a Monk-type formula, expressing the hyperplan