Moment sequences, transformations, and Spidernet graphs
Paul Barry
TL;DR
This paper explores the relationship between Jacobi continued fractions and moment sequences, introducing a transformation suited for analyzing spidernet graphs and the free Meixner law.
Contribution
It defines and investigates a new transformation connecting moment sequences, spidernet graphs, and free Meixner law using continued fractions.
Findings
Established a link between Jacobi continued fractions and moment generating functions.
Developed a transformation relevant for spidernet graphs and free Meixner law.
Provided insights into the structure of moment sequences through this transformation.
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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Taxonomy
TopicsGraph theory and applications · Molecular spectroscopy and chirality · Quantum chaos and dynamical systems