TY - JOUR
T1 - Representation of Generalized Translations of the Product of Two Functions on Signed Hypergroups on the Real Line
AU - Néjib Ben Salem , 
AU - Nabila Hamda , 
JO - Analysis in Theory and Applications
VL - 3
SP - 201
EP - 223
PY - 2012
DA - 2012/10
SN - 28
DO - http://doi.org/10.3969/j.issn.1672-4070.2012.03.001
UR - https://global-sci.org/intro/article_detail/ata/4556.html
KW - Bessel function, Dunkl operator, generalized translation, signed hypergroup, Jacobi-Dunkl operator, Jacobi function.
AB - <p style="text-align: justify;">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 hypergroups on $\mathbf{R}$. Especially, we study the representation of the generalized translations of the product of two functions for these signed hypergroups.</p>