Multidimensional extensions of the Bernoulli and Appell polynomials are defined generalizing the corresponding generating functions, and using the Hermite-Kampe de Feriet (or Gould-Hopper) polynomials. Furthermore the differential equations satisfied by the corresponding 2D polynomials are derived exploiting the factorization method, introduced in [15].

Multidimensional extensions of the Bernoulli and Appell polynomials

Bretti G;
2004

Abstract

Multidimensional extensions of the Bernoulli and Appell polynomials are defined generalizing the corresponding generating functions, and using the Hermite-Kampe de Feriet (or Gould-Hopper) polynomials. Furthermore the differential equations satisfied by the corresponding 2D polynomials are derived exploiting the factorization method, introduced in [15].
2004
Istituto Applicazioni del Calcolo ''Mauro Picone''
Bernoulli polynomials
appell polynomials
multidimensional polynomials
Hermite-Kampe de feriet (or Gould-Hopper) polynomials
differential equations
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/278280
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