Moment sequences, transformations, and Spidernet graphs
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2023
- DOI:
- 10.48550/arXiv.2307.00098
- arXiv:
- arXiv:2307.00098
- Bibcode:
- 2023arXiv230700098B
- Keywords:
-
- Mathematics - Combinatorics;
- Primary 44A60;
- Secondary 05C10 05C30;
- 05C63;
- 05A15;
- 11B83. Primary 44A60;
- Secondary 05C10 05C30;
- 05C63;
- 05A15;
- 11B83
- E-Print:
- 13 pages