The integral transform method, associated with operatorial techniques, can be often applied in order to construct solutions of initial value problems for partial differential equations. In this article, we apply these techniques, introducing suitable families of special functions, in order to derive a very efficient procedure for obtaining solutions of particular families of evolution-type problems.

On new families of integral transforms for the solution of partial differential equations / G., Dattoli; Martinelli, Maria Renata; P. E., Ricci. - In: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. - ISSN 1065-2469. - STAMPA. - 16:8(2005), pp. 661-667. [10.1080/10652460500105966]

On new families of integral transforms for the solution of partial differential equations

MARTINELLI, Maria Renata;
2005

Abstract

The integral transform method, associated with operatorial techniques, can be often applied in order to construct solutions of initial value problems for partial differential equations. In this article, we apply these techniques, introducing suitable families of special functions, in order to derive a very efficient procedure for obtaining solutions of particular families of evolution-type problems.
2005
evolution problems; integral transforms; laguerre-type polynomials; tricomi functions
01 Pubblicazione su rivista::01a Articolo in rivista
On new families of integral transforms for the solution of partial differential equations / G., Dattoli; Martinelli, Maria Renata; P. E., Ricci. - In: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. - ISSN 1065-2469. - STAMPA. - 16:8(2005), pp. 661-667. [10.1080/10652460500105966]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/232871
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