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Moment sequences, transformations, and Spidernet graphs

2023/06/30 by Paul Barry, Barry, Paul
Chemistry · Mathematics · Physics and Astronomy · #05A15 #05C63 #11B83 #11B83. Primary 44A60 #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Molecular spectroscopy and chirality #Primary 44A60 #Quantum chaos and dynamical systems #Secondary 05C10 05C30

paper · pdf · doi:10.48550/arxiv.2307.00098

openalex publication_date 2023/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the link between Jacobi continued fractions and the generating functions of certain moment sequences to study some simple transformations on them. In particular, we define and study a transformation that is appropriate for the study of spidernet graphs and their moments, and the free Meixner law.

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