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Multivariate Chebyshev polynomials in terms of singular elements

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Abstract

We use the direct correspondence between Weyl anti-invariant functions and multivariate second-type Chebyshev polynomials to substantially simplify most operations with multivariate polynomials. We illustrate the obtained results by studying bivariate polynomials of the second type for root systems A1 ⊕ A1, B2, and G2.

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Authors and Affiliations

  1. Saint Petersburg State University, St. Petersburg, Russia

    V. D. Lyakhovsky

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  1. V. D. Lyakhovsky
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Correspondence to V. D. Lyakhovsky.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 175, No. 3, pp. 419–428, June, 2013.

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Lyakhovsky, V.D. Multivariate Chebyshev polynomials in terms of singular elements. Theor Math Phys 175, 797–805 (2013). https://doi.org/10.1007/s11232-013-0066-5

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  • DOI: https://doi.org/10.1007/s11232-013-0066-5

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