On sequences with -1,0,1 Hankel transforms

2012/05/11 by Paul Barry, Barry, Paul
Mathematics · #11B83 (Primary) 05A15 #11J70 (Secondary) #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematical functions and polynomials #math.CO #msc:05A15 #msc:11B83 #msc:11J70

paper · pdf · doi:10.48550/arxiv.1205.2565

13 pages

arxiv created 2012/05/11 · openalex publication_date 2012/05/11 · arxiv updated 2012/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Hankel transforms of sequences, where the transform elements are members of the set -1,0,1. We relate these Hankel transforms to special continued fraction expansions. In particular, we posit a conjecture relating the distribution of non-zero terms in the Hankel transform to the distribution of powers of the variable in the defining continued fractions.

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