Orthogonality properties of the Hermite and related polynomials
Copyright policy )Orthogonality properties of the Hermite and related polynomials
The authors show how the use of operational tools allows the derivation of the orthogonality properties of several different families of Hermite polynomials such as, classical Hermite polynomials, Hermite-Kampé de Fériet polynomials (two-variable Hermite polynomials), Multi-variable and multi-index Hermite polynomials and higher order Hermite polynomials.
- Lomonosov Moscow State University Russian Federation
- National Agency For New Technologies, Energy and Sustainable Economic Development Italy
- University of Victoria Canada
- University of Victoria Canada
Exponential operators, Hermite polynomials, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Other special orthogonal polynomials and functions, Orthogonality property, Operational identities, Higher-order Hermite (or Gould–Hopper) polynomials, Biorthogonal functions, Generating functions, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Integral formulas, Computational Mathematics, Multi-index Hermite polynomials, multivariable and multi-index Hermite polynomials, orthogonality property, Laguerre polynomials, Gauss–Weierstrass transform, Hermite–Kampé de Fériet (HKdF) polynomials, operational methods
Exponential operators, Hermite polynomials, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Other special orthogonal polynomials and functions, Orthogonality property, Operational identities, Higher-order Hermite (or Gould–Hopper) polynomials, Biorthogonal functions, Generating functions, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Integral formulas, Computational Mathematics, Multi-index Hermite polynomials, multivariable and multi-index Hermite polynomials, orthogonality property, Laguerre polynomials, Gauss–Weierstrass transform, Hermite–Kampé de Fériet (HKdF) polynomials, operational methods
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