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A note on multi-index polynomials of Dickson type and their applications in quantum optics - MaRDI portal

A note on multi-index polynomials of Dickson type and their applications in quantum optics (Q1612416)

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scientific article; zbMATH DE number 1787700
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English
A note on multi-index polynomials of Dickson type and their applications in quantum optics
scientific article; zbMATH DE number 1787700

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    A note on multi-index polynomials of Dickson type and their applications in quantum optics (English)
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    22 August 2002
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    This paper is devoted to the study of some properties of a new family of multi-index Lucas type polynomials. The authors consider the possibility of using families of multi-index Hermite polynomials to construct corresponding families of Gegenbauer and Dixson polynomials, considering some properties and their applications in quantum optics. In a forthcoming investigations the authors outline more deeply the study introduced in this paper.
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    multi-index polynomials
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    Hermite polynomials
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    Dickson polynomials
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    generating functions
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