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

1994/04/11 by Erik Koelink, Koelink, Erik, René F. Swarttouw +1 · 1 citation
Chemistry · Physics and Astronomy · Mathematics · #Molecular spectroscopy and chirality #Quantum Mechanics and Non-Hermitian Physics #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.math/9404217

Abstract

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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• A note on the tetrahedral index and the Hahn-Exton q-Bessel function

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