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

DOI10.1016/j.mcm.2003.03.011zbMath1098.35048OpenAlexW1966200533MaRDI QIDQ1765097

Giulia Maroscia, Paolo Emilio Ricci

Publication date: 22 February 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2003.03.011

zbMATH Keywords

Boundary value problemsOperational calculusHermite-Kampé de Fériet (or Gould-Hopper) polynomialsPseudo-circular and pseudo-hyperbolic functions

Mathematics Subject Classification ID

Series solutions to PDEs (35C10)

Related Items (5)

Operational methods and solutions of boundary-value problems with periodic data ⋮ An introduction to operational techniques and special polynomials ⋮ Laguerre-type exponentials and generalized Appell polynomials ⋮ Laguerre-type bessel functions ⋮ Laguerre-type BVP and generalized Laguerre polynomials

Cites Work

• Operational formulas connected with two generalizations of Hermite polynomials
• A representation theory for solutions of a higher order heat equation. I
• A representation theory for solutions of a higher order heat equation. II
• Operational rules and arbitrary order Hermite generating functions
• Two-index multidimensional Gegenbauer polynomials and their integral representations.
• Multidimensional extensions of the Bernoulli and Appell polynomials
• An initial value problem for a class of higher order partial differential equations related to the heat equation
• Polynomial Expansions for Solutions of $D_x^r u(x,t) = D_t u(x,t),r = 2,3,4, \cdots $
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