Lattice paths and branched continued fractions II. Multivariate Lah polynomials and Lah symmetric functions

Mathias Pétréolle, Alan D. Sokal

Type: Article

Publication Date: 2020-09-15

Citations: 22

DOI: https://doi.org/10.1016/j.ejc.2020.103235

View Publication

Locations

European Journal of Combinatorics - View
UCL Discovery (University College London) - View - PDF
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Lattice paths and branched continued fractions. III. Generalizations of the Laguerre, rook and Lah polynomials	2023	Bishal Deb Alexander Dyachenko Mathias Pétréolle Alan D. Sokal
+	Lattice paths and branched continued fractions: An infinite sequence of generalizations of the Stieltjes--Rogers and Thron--Rogers polynomials, with coefficientwise Hankel-total positivity	2018	Mathias Pétréolle Alan D. Sokal Bao-Xuan Zhu
+ PDF Chat	Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity	2023	Mathias Pétréolle Alan D. Sokal Bao-Xuan Zhu
+ PDF Chat	Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials	2025	Sherry H. F. Yan Xubo Yang Zhicong Lin
+	Multiple orthogonal polynomials associated with branched continued fractions for ratios of hypergeometric series	2022	Hélder Lima
+ PDF Chat	Increasing Binary Trees and the $(\alpha,\beta)$-Eulerian Polynomials	2024	William Y. C. Chen Amy M. Fu
+ PDF Chat	Coefficientwise Hankel-total positivity of the row-generating polynomials for the output matrices of certain production matrices	2024	Bao-Xuan Zhu
+	Enumeration of partial Łukasiewicz paths	2022	Jean-Luc Baril Helmut Prodinger
+	Total positivity of some polynomial matrices that enumerate labeled trees and forests, I. Forests of rooted labeled trees.	2021	Alan D. Sokal
+	Trees, forests, and total positivity: I. $q$-trees and $q$-forests matrices	2021	Tomack Gilmore
+	Trees, forests, and total positivity: I. $q$-trees and $q$-forests matrices	2021	Tomack Gilmore
+	A note on Abel polynomials and rooted labeled forests	1983	Bruce E. Sagan
+ PDF Chat	Trees, Forests, and Total Positivity: I. $q$-Trees and $q$-Forests Matrices	2021	Tomack Gilmore
+	Path generating functions and continued fractions	1986	I. P. Goulden D. M. Jackson
+ PDF Chat	Multiple orthogonal polynomials, 𝑑-orthogonal polynomials, production matrices, and branched continued fractions	2024	Alan D. Sokal
+	Total positivity of some polynomial matrices that enumerate labeled trees and forests II. Rooted labeled trees and partial functional digraphs	2024	Xi Chen Alan D. Sokal
+	Matrix continued fractions associated with lattice paths, resolvents of difference operators, and random polynomials	2023	J. Kim A. López‐García Vasiliy A. Prokhorov
+	Plateaux on generalized Stirling permutations and partial $\gamma$-positivity	2020	Zhicong Lin Jun Ma Philip B. Zhang
+ PDF Chat	ARBITRARY ORDER RECURSIVE SEQUENCES AND ASSOCIATED CONTINUED FRACTIONS	2017	A. G. Shannon Charles K Cook b Rebecca A. Hillman c
+	A Shuffle Theorem for Paths Under Any Line	2021	Jonah Blasiak Mark Haiman Jennifer Morse Anna Pun George H. Seelinger

Works That Cite This (22)

Action	Title	Year	Authors
+ PDF Chat	Multiple orthogonal polynomials associated with branched continued fractions for ratios of hypergeometric series	2023	Hélder Lima
+ PDF Chat	Generalized Hypergeometric Function 3F2 Ratios and Branched Continued Fraction Expansions	2021	Т. М. Antonova Roman Dmytryshyn S. V. Sharyn
+	Lattice paths and branched continued fractions. III. Generalizations of the Laguerre, rook and Lah polynomials	2023	Bishal Deb Alexander Dyachenko Mathias Pétréolle Alan D. Sokal
+	Multiple orthogonal polynomials, $d$-orthogonal polynomials, production matrices, and branched continued fractions	2022	Alan D. Sokal
+ PDF Chat	Coefficientwise Hankel-total positivity of the row-generating polynomials for the output matrices of certain production matrices	2024	Bao-Xuan Zhu
+	Lattice Paths, Vector Continued Fractions, and Resolvents of Banded Hessenberg Operators	2023	A. López‐García Vasiliy A. Prokhorov
+ PDF Chat	Total positivity of some polynomial matrices that enumerate labeled trees and forests I: forests of rooted labeled trees	2022	Alan D. Sokal
+ PDF Chat	Trees, Forests, and Total Positivity: I. $q$-Trees and $q$-Forests Matrices	2021	Tomack Gilmore
+	Total positivity of some polynomial matrices that enumerate labeled trees and forests II. Rooted labeled trees and partial functional digraphs	2024	Xi Chen Alan D. Sokal
+	Combinatorial properties of multidimensional continued fractions	2023	Michele Battagliola Nadir Murru Giordano Santilli

Works Cited by This (42)

Action	Title	Year	Authors
+	Advanced Combinatorics: The Art of Finite and Infinite Expansions	1974	Louis Comtet J.W. Nienhuys
+	Combinatorial Species and Tree-like Structures	1997	François Bergeron Gilbert Labelle Pierre Leroux
+ PDF Chat	Varieties of increasing trees	1992	François Bergeron Philippe Flajolet Bruno Salvy
+ PDF Chat	Motzkin Paths, Motzkin Polynomials and Recurrence Relations	2015	Roy Oste J. Van der Jeugt
+	Partially Ordered Rings and Semi-Algebraic Geometry	1979	Gregory W. Brumfiel
+	Positive polynomials and sums of squares	2008	Murray Marshall
+	On Path diagrams and Stirling permutations	2009	Markus Kuba Anna Varvak
+	Catalan-like numbers and Stieltjes moment sequences	2015	Huyile Liang Lili Mu Yi Wang
+	Inverse descents of r-multipermutations	1994	SeungKyung Park
+	The r-multipermutations	1994	SeungKyung Park