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arXiv:1310.6348 [math-ph]AbstractReferencesReviewsResources

New addition formula for the little $q$-Bessel functions

Fethi Bouzeffour

Published 2013-10-23Version 1

Starting from the addition formula for little $q$-Jacobi polynomials, we derive a new addition formula for the little $q$-Bessel functions. The result is obtained by the use of a limit transition. We also establish a product formula for little $q$-Bessel functions with a positive and symmetric kernel.

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