Explicit solutions of multidimensional pseudo-classical BVP in the half-space

  • Authors:
  • G. Maroscia;P. E. Ricci

  • Affiliations:
  • Università di Roma La Sapienza Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate Via A.Scarpa, 16, 00161 Roma, Italia;Università di Roma La Sapienza, Dipartimento di Matematica P.le A. Moro, 2, 00185 Roma, Italia

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2004

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Abstract

Generalizations of the canonical problems of hyperbolic or elliptic type are considered.By using an operational approach based on the pseudo-hyperbolic or pseudo-circular functions of the derivative operator, explicit solutions in terms of the Hermite-Kampe de Feriet (or Gould-Hopper) polynomials are derived.