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Abstract <p>The spectral problem for multiple orthogonal polynomials (MOPS) can be formulated as a problem of recovering the system of measures of orthogonality from recurrence relations. In this paper, we propose a constructive approximation of the weight functions of orthogonality for multiple orthogonal polynomials using recurrence relations and associated Turan determinants.</p>

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On Spectral Problem for Multiple Orthogonal Polynomials

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • V. A. Kalyagin,
  • V. G. Lysov

摘要

Abstract

The spectral problem for multiple orthogonal polynomials (MOPS) can be formulated as a problem of recovering the system of measures of orthogonality from recurrence relations. In this paper, we propose a constructive approximation of the weight functions of orthogonality for multiple orthogonal polynomials using recurrence relations and associated Turan determinants.