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<p>We show how to represent various families of Laguerre polynomials by the three-dimensional Riordan arrays, and use the fundamental theorem of Riordan arrays to obtain the corresponding exponential generating functions.</p>

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Three-Dimensional Riordan Arrays and Bivariate Laguerre Polynomials

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月4日

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  • Nikolai A. Krylov

摘要

We show how to represent various families of Laguerre polynomials by the three-dimensional Riordan arrays, and use the fundamental theorem of Riordan arrays to obtain the corresponding exponential generating functions.