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New kinds of deformed Bessel functions (1206.2522v2)
Published 12 Jun 2012 in math.FA
Abstract: Using a deformed calculus based on the Dunkl operator, two new deformations of Bessel functions are proposed. Some properties i.e. generating function, differential-difference equation, recursive relations, Poisson formula... are also given with detailed proofs. Three more deformations are also outlined in the last section.
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