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An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1992
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