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REPRESENTATION OF GENERALIZED TRANSLATIONS OF THE PRODUCT OF TWO FUNCTIONS ON SIGNED HYPERGROUPS ON THE REAL LINE
Authors:  jib Ben Salem & Nabila Hamda
Institution:Njib Ben Salem and Nabila Hamda (Université de Tunis El Manar,Tunis)
Abstract:In this paper,we consider the generalized translations associated with the Dunkl and the Jacobi-Dunkl differential-difference operators on the real line which provide the structure of signed hrpergroups on R.Especially,we study the representation of the generalized translations of the product of two functions for these signed hypergroups.
Keywords:Bessel function  Dunkl operator  generalized translation  signed hypergroup  Jacobi-Dunkl operator  Jacobi function
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