2012/06/12 by Zahaf, Mohammed Brahim, Manchon, Dominique
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1206.2522
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.