Catalan-like numbers and Stieltjes moment sequences
Huyile Liang, Lili Mu, and Yi Wang
TL;DR
This paper establishes conditions for Catalan-like numbers to be Stieltjes moment sequences and demonstrates that many classical combinatorial sequences, such as Bell and Catalan numbers, fit into this framework.
Contribution
It provides a unified approach to show that various well-known combinatorial sequences are Stieltjes moment sequences under certain conditions.
Findings
Bell numbers are Stieltjes moment sequences.
Catalan numbers are Stieltjes moment sequences.
Central binomial coefficients are Stieltjes moment sequences.
Abstract
We provide sufficient conditions under which the Catalan-like numbers are Stieltjes moment sequences. As applications, we show that many well-known counting coefficients, including the Bell numbers, the Catalan numbers, the central binomial coefficients, the central Delannoy numbers, the factorial numbers, the large and little Schr\"oder numbers, are Stieltjes moment sequences in a unified approach.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.