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Three addition theorems for someq-Krawtchouk polynomials

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Abstract

Theq-Krawtchouk polynomials are the spherical functions for three different Chevalley groups over a finite field. Using techniques of Dunkl to decompose the irreducible representations with respect to a maximal parabolic subgroup, we derive three addition theorems. The associated polynomials are related to affine matrix groups.

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  1. Dennis Stanton

    Present address: School of Mathematics, University of Minnesota, 55455, Minneapolis, Minnesota, USA

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    1. Dennis Stanton
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    During the preparation of this paper the author was partially supported by NSF grant MCS78-02410.

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    Stanton, D. Three addition theorems for someq-Krawtchouk polynomials. Geom Dedicata 10, 403–425 (1981). https://doi.org/10.1007/BF01447435

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    • DOI: https://doi.org/10.1007/BF01447435

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