# New kinds of deformed Bessel functions

@article{Zahaf2012NewKO, title={New kinds of deformed Bessel functions}, author={M. B. Zahaf and D. Manchon}, journal={arXiv: Functional Analysis}, year={2012} }

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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