Hankel determinants of harmonic numbers and related topics

2017/03/02 by Johann Cigler, Cigler, Johann
Mathematics · #11C20 #33C45 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1703.00763

openalex publication_date 2017/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an overview of known results about Hilbert matrices from the point of view of orthogonal polynomials and compute Hankel determinants of harmonic numbers and related topics.

Citations

• A simple approach to some Hankel determinants

Related

• A simple approach to some Hankel determinants
• Computations on Some Hankel Matrices
• Some remarks and conjectures about Hankel determinants of polynomials which are related to Motzkin paths
• Slater determinants of orthogonal polynomials
• Some nice Hankel determinants