arXiv Analytics

Sign in

arXiv:2003.01676 [math.CO]AbstractReferencesReviewsResources

Hankel determinants of linear combinations of moments of orthogonal polynomials

Johann Cigler, Christian Krattenthaler

Published 2020-03-03Version 1

We prove evaluations of Hankel determinants of linear combinations of moments of orthogonal polynomials (or, equivalently, of generating functions for Motzkin paths), thus generalising known results for Catalan numbers.

Comments: 28 pages, AmS-TeX
Categories: math.CO
Subjects: 05A19, 05A10, 05A15, 11C20, 15A15
Related articles: Most relevant | Search more
arXiv:2204.09910 [math.CO] (Published 2022-04-21)
Some remarks and conjectures about Hankel determinants of polynomials which are related to Motzkin paths
arXiv:0804.0440 [math.CO] (Published 2008-04-02, updated 2009-04-21)
A Multilinear Operator for Almost Product Evaluation of Hankel Determinants
arXiv:2404.05263 [math.CO] (Published 2024-04-08)
Some remarks about Hankel determinants which are related to Catalan-like numbers

Links

Toolbox