✦ LIBER ✦

p, q-Stirling numbers and set partition statistics

✍ Scribed by Michelle Wachs; Dennis White

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 760 KB
Volume: 56
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(91)90020-h

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

P-partitions and q-stirling numbers

✍ SeungKyung Park 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 674 KB

Periodicities of partition functions and

Periodicities of partition functions and stirling numbers modulo p

✍ Albert Nijenhuis; Herbert S Wilf 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 183 KB

Refined Stirling Numbers: Enumeration of

Refined Stirling Numbers: Enumeration of Special Sets of Permutations and Set-Partitions

✍ J. Katriel 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 110 KB

The refined Stirling numbers of the first kind specify the number of permutations of n indices possessing m i cycles whose lengths modulo k are congruent to i; i ¼ 0; 1; 2; . . . ; k À 1: The refined Stirling numbers of the second kind are similarly defined in terms of set-partitions and the cardi

A unified combinatorial approach for q-

A unified combinatorial approach for q- (and p,q-) Stirling numbers

✍ Anne de Médicis; Pierre Leroux 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 913 KB

σ-Restricted growth functions and p,q-st

σ-Restricted growth functions and p,q-stirling numbers

✍ Michelle L Wachs 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 386 KB

Restricted growth functions, rank row ma

Restricted growth functions, rank row matchings of partition lattices, and q-Stirling numbers

✍ Stephen C Milne 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 1012 KB

In this paper we use restricted growth functions to give a direct algebraic description of the incidence relations of the lattice of partitions of an n-set that is independent of the partitions themselves. This description of the incidence relations not only gives new information about rank row matc