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1 LPQ3M - Laboratoire de Physique Quantique de la Matière et de Modélisations Mathèmatiques 2 LAPTH - Laboratoire d-Annecy-le-Vieux de Physique Théorique 3 LMBP - Laboratoire de Mathématiques Blaise Pascal

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.

Keywords : Bessel functions Dunkl operator hypergeometric functions generating function





Author: Mohammed Brahim Zahaf - Dominique Manchon -

Source: https://hal.archives-ouvertes.fr/



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