An algebra of diffential operators and generating functions on the set of univalent functions (Q1612744)

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scientific article; zbMATH DE number 1795940
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An algebra of diffential operators and generating functions on the set of univalent functions
scientific article; zbMATH DE number 1795940

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    An algebra of diffential operators and generating functions on the set of univalent functions (English)
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    21 October 2002
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    Developing approach and ideas of \textit{A. A. Kirillov} [J.~Math.~Pures Appl., IX. Sér. 77, No. 8, 735-746 (1998; Zbl 0922.58078)], the authors construct the system of partial differential equations having Faber polynomials as a solution and obtain generating functions for related sequences of vector fields. The context is representations of the Virasoro algebra.
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    Faber polynomials
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    univalent functions
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    vector fields
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    Virasoro algebra
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