Some experimental observations about Hankel determinants of convolution powers of Catalan numbers

2023/08/15 by Cigler, Johann · 1 citation
#05A10 #11B68 #11C20 #15A15 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.07642

Abstract

Computer experiments suggest some conjectures about Hankel determinants of convolution powers of Catalan numbers. Unfortunately, for most of them I have no proofs. I would like to present them anyway hoping that someone finds them interesting and can prove them.

Cited by

• Hankel determinants for convolution powers of Narayana polynomials

Related

• Hankel determinants of convolution powers of Catalan numbers revisited
• Hankel determinants for convolution powers of Catalan numbers
• Hankel Determinants for Convolution of Power Series: An Extension of Cigler's Results
• Shifted Hankel determinants of Catalan numbers and related results II: Backward shifts
• Catalan numbers, Hankel determinants and Fibonacci polynomials