Context-free grammars for triangular arrays

DOI10.1007/s10114-015-4209-5zbMath1308.05019OpenAlexW2140749956MaRDI QIDQ2018879

Larry X. W. Wang, Harold R. L. Yang, Robert X. J. Hao

Publication date: 25 March 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4209-5

zbMATH Keywords

Bessel numberscontext-free grammarWhitney numbersstable polynomialsreal-rootedness

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Combinatorial inequalities (05A20) Grammars and rewriting systems (68Q42)

Related Items (5)

Unnamed Item ⋮ A new approach to the \(r\)-Whitney numbers by using combinatorial differential calculus ⋮ Context-free grammars, generating functions and combinatorial arrays ⋮ Unnamed Item ⋮ Triangular recurrences, generalized Eulerian numbers, and related number triangles

Cites Work

• Context-free grammars, differential operators and formal power series
• A note on the Bessel polynomials
• The Lee--Yang and Pólya--Schur programs. I: Linear operators preserving stability
• On Whitney numbers of Dowling lattices
• On some numbers related to Whitney numbers of Dowling lattices
• Polynomials with real zeros and Pólya frequency sequences
• Pólya-Schur master theorems for circular domains and their boundaries
• A class of geometric lattices based on finite groups
• Multivariate stable polynomials: theory and applications
• The Lee‐Yang and Pólya‐Schur programs. II. Theory of stable polynomials and applications
• The irreducibility of the Bessel polynomials

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