LAGUERRE-TYPE EXPONENTIALS, AND THE RELEVANT L-CIRCULAR AND L-HYPERBOLIC FUNCTIONS

Some classes of entire functions which are eigenfunctions of gen- eralizations of the Laguerre derivative operator are considered. Since this property is an analog of the one characterizing the exponential function, we refer to such functions as Laguerre-type exponentials, or shortly L-exponentials. The definition of L-circular and L-hyperbolic functions easily follows. Applications in the framework of generalized evolution problems are also mentioned.