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Shifted Hankel determinants of Catalan numbers and related results II: Backward shifts

2023/06/13 by Johann Cigler, Cigler, Johann
Computer Science · Mathematics · #05A10 #11C20 #Advanced Mathematical Identities #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2306.07733

openalex publication_date 2023/06/13 · openalex created_date 2023/06/15 · openalex updated_date 2026/07/28

Abstract

By prepending zeros to a given sequence Hankel determinants of backward shifts of this sequence become meaningful. We obtain some results for the sequences of Catalan numbers and of some numbers and polynomials which are related to Catalan numbers and propose conjectures for sequences of convolution powers of Catalan numbers.

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