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arXiv · 1206.2522

New kinds of deformed Bessel functions

Mohammed Brahim Zahaf·Dominique Manchon
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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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Mohammed Brahim Zahaf, Dominique Manchon. 2013-09-20. New kinds of deformed Bessel functions. https://arxiv.org/abs/1206.2522

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