Catalan-like number sequences and Hausdorff moment sequences

@article{Choi2020CatalanlikeNS,
  title={Catalan-like number sequences and Hausdorff moment sequences},
  author={Hayoung Choi and Yeong-Nan Yeh and Seonguk Yoo},
  journal={Discret. Math.},
  year={2020},
  volume={343},
  pages={111808}
}

References

SHOWING 1-10 OF 33 REFERENCES

Log-convex and Stieltjes moment sequences

Hamburger moment sequences and their moment subsequences

Partial sequences and subsequences of Hamburger moment sequences arise where data have been lost or interpolation is sought. All the relevant questions dealing with full moment sequences, such as

Recent developments on the moment problem

We consider univariate distributions with finite moments of all positive orders. The moment problem is to determine whether or not a given distribution is uniquely determined by the sequence of its

Hankel determinants of linear combinations of consecutive Catalan-like numbers

An operator-theoretic approach to truncated moment problems

We survey recent developments in operator theory and moment problems, beginning with the study of quadratic hyponormality for unilateral weighted shifts, its connections with truncated Hamburger,

Hamburger Moment Sequences in Combinatorics

We show that many well-known counting coefficients in combinatorics are Hamburger moment sequences in certain unified approaches and that Hamburger moment sequences are infinitely convex. We

A determinant characterization of moment sequences with finitely many mass points

To a sequence of real numbers, we associate the sequence of Hankel matrices . We prove that if the corresponding sequence of Hankel determinants satisfy for while for , then all Hankel matrices are

The Hankel transform of generalized central trinomial coefficients and related sequences

In this paper, we explore the connection between the Hankel transform, Riordan arrays and orthogonal polynomials. For this purpose, we evaluate the Hankel transform of generalized trinomial

Catalan and other numbers: a recurrent theme

The Catalan numbers C n are, next to the binomial coefficients, the best studied of all combinatorial counting numbers. The wonderful book by Stanley [28] lists more than 70 instances of enumeration