%0 Journal Article
%T Symmetric q-Bessel functions
%A Giuseppe Dattoli
%A Amalia Torre
%J Le Matematiche
%D 1996
%I University of Catania
%X q analog of bessel functions, symmetric under the interchange of q and q^  1 are introduced. The definition is based on the generating function realized as product of symmetric q-exponential functions with appropriate arguments. Symmetric q-Bessel function are shown to satisfy various identities as well as second-order q-differential equations, which in the limit q ¡ú 1 reproduce those obeyed by the usual cylindrical Bessel functions. A brief discussion on the possible algebraic setting for symmetric q-Bessel functions is also provided.
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/432