Solving multivariate functional equations

DOI10.1016/J.DISC.2013.11.023zbMath1281.05044arXiv1206.6750OpenAlexW2012391074MaRDI QIDQ394345

Mohammad Hasan, H. S. Yoon

Publication date: 27 January 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.6750

zbMATH Keywords

functional equationaffine permutationcombinatorial statisticfully commutativefunctional recurrenceparallelogram polyominostaircase polyomino

Mathematics Subject Classification ID

Polyominoes (05B50) Functional equations and inequalities (39B99)

Cites Work

• The enumeration of fully commutative affine permutations
• Some combinatorial interpretations of \(q\)-analogs of Schröder numbers
• Generating functions for generating trees
• Algebraic languages and polyominoes enumeration
• A methodology for plane tree enumeration
• A method for the enumeration of various classes of column-convex polygons
• Polynomial equations with one catalytic variable, algebraic series and map enumeration
• Kernel method and system of functional equations
• Exactly Solved Models
• On the number of certain lattice polygons
• Some permutations with forbidden subsequences and their inversion number

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