The kernel method and systems of functional equations with several conditions

DOI10.1016/j.cam.2010.08.004zbMath1227.05043OpenAlexW1998638885MaRDI QIDQ609206

Toufik Mansour, Qing-Hu Hou

Publication date: 30 November 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.08.004

zbMATH Keywords

generating functionskernel methodgenerating treessequences with two indices

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Numerical methods for functional equations (65Q20)

Related Items (3)

Nine classes of permutations enumerated by binomial transform of Fine's sequence ⋮ Impulse parameter and a new equivalence between 123- and 132-avoiding permutations ⋮ Counting water cells in bargraphs of compositions and set partitions

Cites Work

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• Generating trees and the Catalan and Schröder numbers
• Generating trees for permutations avoiding generalized patterns
• Three Hoppy path problems and ternary paths
• Kernel method and linear recurrence system
• Polynomial equations with one catalytic variable, algebraic series and map enumeration
• Kernel method and system of functional equations
• Recurrence relations with two indices and even trees
• Combinatorial methods and recurrence relations with two indices

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