New addition formula for the little q-Bessel functions

2013/10/23 by Bouzeffour, Fethi
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1310.6348

Abstract

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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