Coefficients Associated with the Expansion of Certain Products

DOI10.2307/2040625zbMath0291.05005OpenAlexW4249928820MaRDI QIDQ4041585

D. P. Roselle

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2040625

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of partitions of integers (05A17)

Related Items (15)

On a theorem of Baxter and Zeilberger via a result of Roselle ⋮ Counting permutations by congruence class of major index ⋮ The Combinatorics of Certain Products ⋮ Permutation statistics and partitions ⋮ Peaks are preserved under run-sorting ⋮ Generalized Worpitzky identities with applications to permutation enumeration ⋮ Fonctions symétriques et séries hypergéométriques basiques multivariées ⋮ Weighted enumerations on projective reflection groups ⋮ Statistiques d'ordre sur les permutations colorées. (Order statistics on coloured permutations) ⋮ Equidistribution of negative statistics and quotients of Coxeter groups of type \(B\) and \(D\) ⋮ Functions and correspondences in a finite field ⋮ Signed Mahonians ⋮ Generalized statistics on \(S_{n}\) and pattern avoidance ⋮ Specializations of colored quasisymmetric functions and Euler-Mahonian identities ⋮ Partition identities and invariants of finite groups

Cites Work

• The conjugate trace and trace of a plane partition
• Partitions of Multi-Partite Numbers
• The Expansion of Certain Products
• Partition of Multipartite Numbers into a Fixed Number of Parts
• Permutations and sequences with repetitions by number of increases
• Ordered structures and partitions
• Two Theorems on Multipartite Partitions

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