Some classes of entire functions which are eigenfunctions of generalizations 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 ๐ฟ-exponentials. The definition of ๐ฟ-circular and ๐ฟ-hyperbolic functions easily follows. Applications in the framework of generalized evolution problems are also mentioned.
No takes yet. Share an insight, caveat, or question.
Dattoli et al. (2003) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: