Higher order Hermite (or Gould Hopper) polynomials are linked to the heat polynimials and are the natural solutions of the generalized heat equation.We use operational methods to derive their associated biorthogonal partners and to obtain generalized forms of the Gauss transform.
Higher order Hermite polynomials, associated biorthogonal functions and generalized heat equation / Germano, Bruna; Ricci, P. E.. - In: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. - ISSN 1065-2469. - STAMPA. - 20:(2005), pp. 1065-1074.
Higher order Hermite polynomials, associated biorthogonal functions and generalized heat equation
GERMANO, Bruna;
2005
Abstract
Higher order Hermite (or Gould Hopper) polynomials are linked to the heat polynimials and are the natural solutions of the generalized heat equation.We use operational methods to derive their associated biorthogonal partners and to obtain generalized forms of the Gauss transform.File allegati a questo prodotto
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