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Parallelogram polyominos with border and Bessel functions

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Publication:1801701
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DOI10.1016/0012-365X(93)90491-BzbMath0771.05029MaRDI QIDQ1801701

Yanyan Li

Publication date: 20 June 1993

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


zbMATH Keywords

generating functionenumerationBessel functions\(q\)-calculusparallelogram polyomino


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Polyominoes (05B50)


Related Items

Enumeration of the directed convex polyominoes, \(q\)-Bessel, arbres, et chemins valués. (\(q\)-Bessel functions, trees, and weighted paths), On an involution on the Dyck paths



Cites Work

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  • Attribute grammars are useful for combinatorics
  • Algebraic languages and polyominoes enumeration
  • Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
  • A Noncommutative Generalization and q-Analog of the Lagrange Inversion Formula
  • ON q-DIFFERENCE EQUATIONS FOR CERTAIN WELL-POISED BASIC HYPERGEOMETRIC SERIES
  • Checker Boards and Polyominoes
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