On combinatorial properties and the zero distribution of certain Sheffer sequences

DOI10.1016/j.jmaa.2022.126273zbMath1498.05038arXiv2103.01264OpenAlexW3134714405MaRDI QIDQ2673003

Gi-Sang Cheon, Hana Kim, Khang Tran, Tamás Forgács

Publication date: 13 June 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.01264

zbMATH Keywords

zero distributioncritical lineSheffer sequencegenerating treeweighted lattice path

Mathematics Subject Classification ID

Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

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• Hyperbolic polynomials and linear-type generating functions
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Level generating trees and proper Riordan arrays
• On the Altitude of Nodes in Random Trees
• Criterion of the reality of zeros in a polynomial sequence satisfying a three-term recurrence relation

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