Three-Dimensional Riordan Arrays and Bivariate Laguerre Polynomials

Abstract 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.

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Publication Details

Journal
Results in Mathematics
Published
2025-05-04
DOI
https://doi.org/10.1007/s00025-025-02413-6
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
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article

Three-Dimensional Riordan Arrays and Bivariate Laguerre Polynomials

Nikolai A. Krylov
Results in Mathematics
Advanced Combinatorial Mathematics
article

Three-Dimensional Riordan Arrays and Bivariate Laguerre Polynomials

Nikolai A. Krylov
article en

Abstract

Abstract 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.

Results in MathematicsVol. 80(4)
Siena College (US)
Openalex Percentile: Top 86%
Advanced Combinatorial Mathematics
DOIOpen Access PDFOpenAlex
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Three-Dimensional Riordan Arrays and Bivariate Laguerre Polynomials — Nikolai A. Krylov · Results in Mathematics (2025) | TGRS Research Map | TGRS