Geodesic
An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
Canadian journal of mathematics, Tome 44 (1992) no. 4, pp. 867-879

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper a q-analogue of Gegenbauer's addition formula for Bessel functions is obtained by using the orthogonality relation for the q-Ultraspherical polynomials of Rogers'. Also some product formulas and an integral representation for the Hahn-Exton q-Bessel functions are obtained.
DOI : 10.4153/CJM-1992-052-6
Mots-clés : 33D15, 33D45, Hahn-Exton q-Bessel function, Gegenbauer's addition formula, q-Ultraspherical polynomials, product formulas, integral representation 
Swarttouw, René F. An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions. Canadian journal of mathematics, Tome 44 (1992) no. 4, pp. 867-879. doi: 10.4153/CJM-1992-052-6
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