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<p>We investigate some analytic properties of generalized Morgan-Voyce polynomials, including the real-rootedness of the polynomial sequence, the asymptotic normality of the coefficient sequence of the polynomial and the total positivity of the coefficient matrices of the polynomial sequence.</p>

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Analytic properties of generalized Morgan-Voyce polynomials

  • 期刊论文

  • 发表日期：

    2026年6月23日

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  • Hongjuan Lin,
  • Yanxin Liu,
  • Yanni Pei,
  • Xin Zhao

摘要

We investigate some analytic properties of generalized Morgan-Voyce polynomials, including the real-rootedness of the polynomial sequence, the asymptotic normality of the coefficient sequence of the polynomial and the total positivity of the coefficient matrices of the polynomial sequence.