caa a22 4500 378878581 CHVBK 20180305123426.0 cr unu---uuuuu 161128e200309 xx s 000 0 eng 10.1515/GMJ.2003.481 doi (NATIONALLICENCE)gruyter-10.1515/GMJ.2003.481 Laguerre-Type Exponentials, and the Relevant 𝐿-Circular and 𝐿-Hyperbolic Functions [Elektronische Daten] [Giuseppe Dattoli, Paolo E. Ricci] 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 𝐿-exponentials. The definition of 𝐿-circular and 𝐿-hyperbolic functions easily follows. Applications in the framework of generalized evolution problems are also mentioned. © Heldermann Verlag Laguerre derivative nationallicence Tricomi functions nationallicence Laguerre-type exponential functions nationallicence 𝐿-circular and 𝐿-hyperbolic functions nationallicence Dattoli Giuseppe Unità Tecnico Scientifica Tecnologie Fisiche Avanzate, ENEA - Centro Ricerche Frascati - C.P. 65, Via E. Fermi, 45, 00044 - Frascati - Roma, Italia. E-mail: dattoli@frascati.enea.it aut Ricci Paolo E. Dipartimento di Matematica "Guido Castelnuovo”, Università degli Studi di Roma "La Sapienza”, P.le A. Moro, 2, 00185 - Roma, Italia. E-mail: riccip@uniroma1.it aut Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 10/3(2003-09), 481-494 1072-947X 10:3<481 2003 10 GMJ https://doi.org/10.1515/GMJ.2003.481 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/GMJ.2003.481 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dattoli Giuseppe Unità Tecnico Scientifica Tecnologie Fisiche Avanzate, ENEA - Centro Ricerche Frascati - C.P. 65, Via E. Fermi, 45, 00044 - Frascati - Roma, Italia. E-mail: dattoli@frascati.enea.it aut NATIONALLICENCE 700 1- Ricci Paolo E. Dipartimento di Matematica "Guido Castelnuovo”, Università degli Studi di Roma "La Sapienza”, P.le A. Moro, 2, 00185 - Roma, Italia. E-mail: riccip@uniroma1.it aut NATIONALLICENCE 773 0- Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 10/3(2003-09), 481-494 1072-947X 10:3<481 2003 10 GMJ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter