Divided differences and a unified approach to evaluating determinants involving generalized factorials

DOI10.1080/03081087.2012.663369zbMath1268.15006OpenAlexW2006506401MaRDI QIDQ4908161

Peipei Tang, Aimin Xu

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.663369

zbMATH Keywords

divided differencesVandermonde determinantgeneralized factorialCauchy determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Numerical computation of determinants (65F40) Matrices, determinants in number theory (11C20)

Related Items (1)

Extensions of Vandermonde determinant by computing divided differences

Cites Work

• Generalized Leibniz functional matrices and divided difference form of the Lagrange-Bürmann formula
• Binomial determinant evaluations
• \(q\)-identities from Lagrange and Newton interpolation
• A \(2n\)-point interpolation formula with its applications to \(q\)-identities
• Generating functions for plane partitions of a given shape
• Confluent \(q\)-extensions of some classical determinants
• Partial Fractions and q-Binomial Determinant Identities
• Determinants through the looking glass

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