An operational point of view to the theory of multi-variable/multi-index Hermite polynomials
arXiv (Cornell University)(2023)
摘要
The use of algebraic tools of operational and umbral nature is exploited to develop a new point of view and to extend the theory of Hermite polynomials, with more than one variable also of complex nature. The techniques we adopt includes multivariable/many index Hermite- Kampe-de-Feriet polynomials of order two and higher. It will be shown that the treatment, foreseen here, simplifies the study of the relevant properties and the associated computational technicalities.
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关键词
hermite polynomials,multi-variable,multi-index
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