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Alexei Zhedanov

  1. An Algebraic Model for the Multiple Meixner Polynomials of the First Kind.

    Mon, 03/05/2012 - 15:01 — SomNambul
    Authors: Alexei Zhedanov, Satoshi Tsujimoto, Hiroshi Miki, Luc Vinet
    Subjects: Mathematical Physics
    Abstract

    An interpretation of the multiple Meixner polynomials of the first kind is
    provided through an infinite Lie algebra realized in terms of the creation and
    annihilation operators of a set of independent oscillators. The model is used
    to derive properties of these orthogonal polynomials.

  2. The linear pencil approach to rational interpolation.

    Tue, 08/25/2009 - 22:41 — SomNambul
    Authors: Bernhard Beckermann, Maxim Derevyagin, Alexei Zhedanov
    Subjects: Classical Analysis and ODEs
    Abstract

    It is possible to generalize the fruitful interaction between (real or
    complex) Jacobi matrices, orthogonal polynomials and Pade approximants at
    infinity by considering rational interpolants, (bi-)orthogonal rational
    functions and linear pencils zB-A of two tridiagonal matrices A, B, following
    Spiridonov and Zhedanov.

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