We start from pseudo hyperbolic and trigonometric functions to introduce pseudo Laguerre and Hermite polynomials. We discuss the link with families of Bessel functions and analyze all the associated problems from a unifying point of view, employing operational tools.
Si utilizzano le funzioni pseudo trigonometriche e pseudo iperboliche per introdurre pseudo polinomi di Hermite e Laguerre. Si discute il legame con le famiglie di funzioni di Bessel e si analizzano le relative problematiche da un punto di vista unitario che utilizza metodi operazionali.
@article{RLIN_2001_9_12_2_75_0,
author = {Giuseppe Dattoli},
title = {Pseudo Laguerre and pseudo Hermite polynomials},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
volume = {12},
year = {2001},
pages = {75-84},
zbl = {1170.33300},
mrnumber = {1898451},
language = {en},
url = {http://dml.mathdoc.fr/item/RLIN_2001_9_12_2_75_0}
}
Dattoli, Giuseppe. Pseudo Laguerre and pseudo Hermite polynomials. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 12 (2001) pp. 75-84. http://gdmltest.u-ga.fr/item/RLIN_2001_9_12_2_75_0/
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