Orthogonality properties of the Hermite and related polynomials
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摘要
The authors present a general method of operational nature with a view to investigating the orthogonality properties of several different families of the Hermite and related polynomials. In particular, the classical Hermite polynomials and some of their higher-order and multi-index generalizations are considered here.
论文关键词：primary 33C45,Orthogonality property,Hermite polynomials,Hermite–Kampé de Fériet (HKdF) polynomials,Multi-index Hermite polynomials,Gauss–Weierstrass transform,Generating functions,Laguerre polynomials,Operational identities,Exponential operators,Integral formulas,Biorthogonal functions,Higher-order Hermite (or Gould–Hopper) polynomials
论文评审过程：Received 27 June 2004, Available online 22 January 2005.
论文官网地址：https://doi.org/10.1016/j.cam.2004.10.021
