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Hankel Determinants for Convolution Powers of Narayana Polynomials

open access: yesThe Electronic Journal of Combinatorics
We prove and generalize a conjecture of Johann Cigler on the Hankel determinants of convolution powers of Narayana polynomials. Our method follows a "guess-and-prove" strategy, relying on established techniques involving Hankel continued fractions. While the final forms of our theorems are given by simple closed expressions, the proofs require us to ...
openaire   +2 more sources

Bordered and Framed Toeplitz and Hankel Determinants with Applications to Integrable Probability [PDF]

open access: yes
Bordered and framed Toeplitz/Hankel determinants have the same structure as Toeplitz/Hankel determinants except in small number of matrix rows and/or columns.
Liechty, Karl, Gharakhloo, Roozbeh
core   +1 more source

The Translated Dowling Polynomials and Numbers. [PDF]

open access: yesInt Sch Res Notices, 2014
Mangontarum MM   +2 more
europepmc   +1 more source

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