Triangular sequences, combinatorial recurrences and linear difference equations

DOI10.1016/j.laa.2018.10.015zbMath1416.05040OpenAlexW2895815933WikidataQ129056158 ScholiaQ129056158MaRDI QIDQ2002565

Yanyan Li

Publication date: 12 July 2019

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

Full work available at URL: http://hdl.handle.net/2117/126128

zbMATH Keywords

orthogonal polynomialscombinatorial identitieslinear difference equationstriangular matricesthree-term recurrences

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Recurrences (11B37) Linear difference equations (39A06)

Related Items (1)

Triangular recurrences, generalized Eulerian numbers, and related number triangles

Cites Work

• Combinatorial recurrences and linear difference equations
• On Stirling numbers and Euler sums
• Catalan, Motzkin, and Riordan numbers
• On Miki's identity for Bernoulli numbers
• Bivariate generating functions for a class of linear recurrences: general structure
• Generalized harmonic numbers with Riordan arrays
• Second order linear difference equations
• Motzkin numbers
• Recursively defined combinatorial functions: Extending Galton's board
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