New addition formula for the little q-Bessel functions
classification
🧮 math-ph
math.MP
keywords
formulalittleadditionbesselfunctionsderiveestablishjacobi
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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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