Permutations depending on the exceedance type and the number of inversions and combinatorial interpretation of a continued fraction of Heine
type: Item
instance of: scholarly article
title: Permutations depending on the exceedance type and the number of inversions and combinatorial interpretation of a continued fraction of Heine
zbMATH Open document ID: 0784.05005
author: Philippe Biane
published in: European Journal of Combinatorics
publication date: 1993-10-24T00:00:00Z
review text: Es wird eine kombinatorische Interpretation der von Heine stammenden Kettenbruchentwicklung der formalen Potenzreihe \(\sum [n]!x^ n\) gegeben, wobei \([n]!\) das \(q\)-Analogon von \(n!\) bedeutet.
reviewed by: J. Cigler
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 11Y65
Mathematics Subject Classification ID: 11A15
Mathematics Subject Classification ID: 30B70
Mathematics Subject Classification ID: 40A15
zbMATH DE Number: 417233
zbMATH Keywords: permutations
zbMATH Keywords: continued fraction of Heine
MaRDI profile type: Publication
full work available at URL: eujc.1993.1031
OpenAlex ID: W2055464805
DOI: 10.1006/EUJC.1993.1031
Recommended article: Enumerations of permutations and continued \(J\)-fractions
Recommended article: Catalan continued fractions and increasing subsequences in permutations
Recommended article: An asymptotic expansion for the number of permutations with a certain number of inversions
Recommended article: A Continued Fraction and Permutations With Fixed Points
Recommended article: Restricted permutations, continued fractions, and Chebyshev polynomials
Recommended article: Permutation patterns and continued fractions
Recommended article: Permutations by number of fixed points and anti-excedances
Recommended article: Q5239584
Recommended article: Excedance numbers for the permutations of type \(B\)
Recommended article: The \(q\)-exponential generating function for permutations by consecutive patterns and inversions
description: scientific article; zbMATH DE number 417233