The Hermite polynomials can be defined through a second order differential equation with non constant coefficients, admitting two solutions one of which of non polynomial nature. The properties of this solution are studied here using an algebraic formalism, employing the techniques developed within the framework of the monomiality principle
The second solution of the Hermite equation and the monomiality formalism / Germano, Bruna; Dattoli, G; Martinelli, Maria Renata; Ricci, P. E.. - In: PURE MATHEMATICAL SCIENCES. - ISSN 1314-7560. - STAMPA. - 2:4(2013), pp. 147-152.
The second solution of the Hermite equation and the monomiality formalism
GERMANO, Bruna;MARTINELLI, Maria Renata;
2013
Abstract
The Hermite polynomials can be defined through a second order differential equation with non constant coefficients, admitting two solutions one of which of non polynomial nature. The properties of this solution are studied here using an algebraic formalism, employing the techniques developed within the framework of the monomiality principleFile allegati a questo prodotto
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