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The Discrete Relativistic Toda Molecule Equation and a Padé Approximation Algorithm

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Abstract

The relativistic Toda molecule equation (RTM) describes a one-parameter deformation of coefficients of the recurrence relation of a class of biorthogonal polynomials including the Szegö polynomials. In this paper, we present (i) explicit solutions of the discrete relativistic Toda molecule equation (d-RTM), (ii) a new Padé approximation algorithm for a given power series.

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Authors and Affiliations

  1. Division of Mathematical Science, Department of Informatics and Mathematical Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, 560-8531, Japan

    Yukitaka Minesaki

  2. Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, 606-8501, Japan

    Yoshimasa Nakamura

Authors
  1. Yukitaka Minesaki
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  2. Yoshimasa Nakamura
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Minesaki, Y., Nakamura, Y. The Discrete Relativistic Toda Molecule Equation and a Padé Approximation Algorithm. Numerical Algorithms 27, 219–235 (2001). https://doi.org/10.1023/A:1011897724524

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