A direct method for evaluating some nice Hankel determinants and proofs of several conjectures
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Publication:1938709
DOI10.1016/j.laa.2012.10.050zbMath1263.15006OpenAlexW2014030600WikidataQ123289722 ScholiaQ123289722MaRDI QIDQ1938709
Xing-Biao Hu, Ying-Nan Zhang, Xiang-Ke Chang
Publication date: 22 February 2013
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2012.10.050
Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Special sequences and polynomials (11B83)
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Hankel determinants and shifted periodic continued fractions ⋮ Combinatorial proofs of addition formulas
Cites Work
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- Hankel determinants of sums of consecutive weighted Schröder numbers
- Some determinants of path generating functions
- Hankel determinants of sums of consecutive Motzkin numbers
- Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
- Determinants of (generalised) Catalan numbers
- Binomial determinants, paths, and hook length formulae
- Advanced determinant calculus
- Catalan-like numbers and determinants
- A determinant property of Catalan numbers
- Hankel determinants for some common lattice paths
- Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers
- The generating function of ternary trees and continued fractions
- Advanced determinant calculus: a complement
- Motzkin numbers