Laguerre-Type Exponentials, and the Relevant 𝐿-Circular and 𝐿-Hyperbolic Functions-Reference-Cited by-同舟云学术

Laguerre-Type Exponentials, and the Relevant 𝐿-Circular and 𝐿-Hyperbolic Functions

Published:2003-09 Issue:3 Volume:10 Page:481-494
ISSN:1572-9176
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language:en
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Author:

Dattoli Giuseppe¹,Ricci Paolo E.²

Affiliation:

1. Unità Tecnico Scientifica Tecnologie Fisiche Avanzate, ENEA – Centro Ricerche Frascati – C.P. 65, Via E. Fermi, 45, 00044 - Frascati - Roma, Italia. E-mail:

2. Dipartimento di Matematica “Guido Castelnuovo”, Università degli Studi di Roma “La Sapienza”, P.le A. Moro, 2, 00185 – Roma, Italia. E-mail:

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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