Finite differences and determinant identities

DOI10.1016/j.laa.2007.08.044zbMath1154.15008OpenAlexW2083254045MaRDI QIDQ958012

Chu, Wenchang

Publication date: 2 December 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.08.044

zbMATH Keywords

Hankel determinantfinite differencesymmetric functionsbinomial coefficientVandermonde determinantWronskian determinantCauchy's double alternant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Difference operators (39A70)

Related Items (15)

Hagen–Rothe Convolution Identities Through Lagrange Interpolations ⋮ Finite differences and Dixon-like binomial sums ⋮ Decomposition of some Hankel matrices generated by the generalized rencontres polynomials ⋮ The q-derivative formula and determinant identities ⋮ Harmony of asymmetric variants of the Filbert and Lilbert matrices in \(q\)-form ⋮ A multi-layer extension of the stochastic heat equation ⋮ Extensions of Vandermonde determinant by computing divided differences ⋮ Reduction formula of a double binomial sum ⋮ New analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries ⋮ Hausdorff means and moment sequences ⋮ Three determinant evaluations ⋮ Loop-erased walks and random matrices ⋮ A nonlinear generalization of the Filbert matrix and its Lucas analogue ⋮ Nonlinear variants of the generalized Filbert and Lilbert matrices ⋮ HANKEL DETERMINANTS OF FACTORIAL FRACTIONS

Cites Work

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• Binomial determinant evaluations
• Advanced determinant calculus
• Hankel determinants of some polynomials arising in combinatorial analysis
• Hankel determinants and orthogonal polynomials.
• Addition formulas for polynomials built on classical combinatorial sequences
• The Hankel Determinant of Exponential Polynomials
• The Faà di Bruno formula and determinant identities
• The Cauchy double alternant and divided differences
• A mechanical counting method and combinatorial applications
• Generating Functions for Bessel and Related Polynomials
• Hankel determinants and the Sylvester theorem

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