Results 31 to 40 of about 980 (86)
Shifted Quasi-Symmetric Functions and the Hopf algebra of peak functions [PDF]
, 1999 In his work on P-partitions, Stembridge defined the algebra of peak functions Pi, which is both a subalgebra and a retraction of the algebra of quasi-symmetric functions.
Frank Sottile +4 more
core +4 more sources
The Rogers-Ramanujan identities, the finite general linear groups, and the Hall-Littlewood polynomials [PDF]
, 1997 We connect Gordon's generalization of the Rogers-Ramanujan identities with the Hall-Littlewood polynomials and with generating functions which arise in a probabilistic setting in the finite general linear groups.
Jason E. Fulman
semanticscholar +1 more source
A symbolic method for k-statistics [PDF]
, 2005 Trough the classical umbral calculus, we provide new, compact and easy to handle expressions of k-statistics, and more in general of U-statistics. In addition such a symbolic method can be naturally extended to multivariate case and to generalized k ...
Di Nardo, E., Senato, D.
core +2 more sources
On the inverse Kostka matrix [PDF]
, 2003 We present both a combinatorial characterization and a recurrent formula for the entries of the inverse Kostka matrix. An application to the topology of the classifying space BU(n) is obtained.Comment: To appear in Journal of Combinatorial Theory, Series
Duan +10 more
core +2 more sources
Schur convexity of dual form of the complete symmetric function
, 2013 In this paper, the Schur-convexity, the Schur-geometric-convexity and the Schur-harmonicconvexity of dual form of the complete symmetric function are investigated.
Kong-sheng Zhang, Huan-Nan Shi
semanticscholar +1 more source
Some Combinatorial Properties of Hook Lengths, Contents, and Parts of Partitions [PDF]
, 2009 This paper proves a generalization of a conjecture of Guoniu Han, inspired originally by an identity of Nekrasov and Okounkov. The main result states that certain sums over partitions p of n, involving symmetric functions of the squares of the hook ...
A. Lascoux +7 more
core +2 more sources
Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016 Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
wiley +1 more source
Forum of Mathematics, SigmaSchubert polynomials are polynomial representatives of Schubert classes in the cohomology of the complete flag variety and have a combinatorial formulation in terms of bumpless pipe dreams.
Tuong Le +4 more
doaj +1 more source
HALF-SPACE MACDONALD PROCESSES
Forum of Mathematics, Pi, 2020 Macdonald processes are measures on sequences of integer partitions built using the Cauchy summation identity for Macdonald symmetric functions. These measures are a useful tool to uncover the integrability of many probabilistic systems, including the ...
GUILLAUME BARRAQUAND +2 more
doaj +1 more source
Hypersymmetric functions and Pochhammers of 2 × 2 nonautonomous matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3151-3170, 2004., 2004 We introduce the hypersymmetric functions of 2 × 2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices. The hypersymmetric functions are generalizations of the associated elementary symmetric functions, and for a specific class of 2 × 2 matrices, having a high degree
A. F. Antippa
wiley +1 more source