Catalan-like numbers and Stieltjes moment sequences
arXiv:1506.07449 · doi:10.1016/j.disc.2015.09.012
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 Schröder numbers, are Stieltjes moment sequences in a unified approach.
7 pages
References in corpus (1)
Cited by in corpus (6)
- Lattice paths and branched continued fractions. II. Multivariate Lah polynomials and Lah symmetric functions
- Total positivity of some polynomial matrices that enumerate labeled trees and forests, I. Forests of rooted labeled trees
- On Powers of the Catalan Number Sequence
- Lattice paths and branched continued fractions. III. Generalizations of the Laguerre, rook and Lah polynomials
- Positivity properties of some special matrices
- Catalan-like numbers and Hausdorff moment sequences