MULTI-VARIABLE GOULD-HOPPER AND LAGUERRE POLYNOMIALS

The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials. In this article we show a general technique to extend themonomiality approach tomulti-index polynomials in several variables. Application to the case of Hermite, Laguerre-type and mixed-type (i.e. between Laguerre and Hermite) are derived.The monomiality principle was introduced by G. Dattoli, in order toderive the properties of special or generalized polynomials starting fromthe corresponding ones of monomials. In this article we show a generaltechnique to extend themonomiality approach tomulti-index polynomials in several variables. Application to the case of Hermite, Laguerre-type and mixed-type (i.e. between Laguerre and Hermite) are derived

Maggiorazione di taluni invarianti ortogonali relativi ad un operatore differenziale ordinario del secondo ordine con condizioni ai limiti di tipo generale

Si considera un problema di autovalori per una equazione differenziale ordinaria del secondo ordine con condizioni ai limiti di tipo generale. Si estende a tale problema n metodo per l'approssimazione per eccesso di taluni invarianti ortogonali. Viene fornito un procedimento per costruire le funzioni approssimanti richieste dal metodo.An eigenvalue problem for a second order differential equation with general boundary conditions is considered. A method for the upper approximation of orthogonal invariants connected with the problem is expanded. A procedure for the construction of the approximating functions, required by the method, is given

Operational methods and solutions of boundary value problems with periodic data

Tradotto dal russo (Sovremennaya Matematika i ee Prilozheniya - Contemporary Mathematics and Its Applications