Results 11 to 20 of about 2,997,678 (239)
The equivalence of two graph polynomials and a symmetric function [PDF]
, 2009 The U-polynomial, the polychromate and the symmetric function generalization of the Tutte polynomial due to Stanley are known to be equivalent in the sense that the coefficients of any one of them can be obtained as a function of the coefficients of any ...
Noble, SD +5 more
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Interpolation for Symmetric Functions [PDF]
Advances in Mathematics, 1996 This paper contains two main results. First the paper establishes an interpolation formula for a symmetric function in \(k\) variables which reduces to the classical Lagrange interpolation formula if \(k=1\). Second the authors provide a simple derivation of an identity of \textit{R. A. Gustafson} and \textit{S. C. Milne} [Adv. Math. 48, 177-188 (1983;
Chen, William Y.C., Louck, James D.
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On Some Inequalities of Symmetric Means and Mixed Means [PDF]
, 2005 We improve some inequalities involving the symmetric means.
Gao, Peng
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Branching rules in the ring of superclass functions of unipotent upper-triangular matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 It is becoming increasingly clear that the supercharacter theory of the finite group of unipotent upper-triangular matrices has a rich combinatorial structure built on set-partitions that is analogous to the partition combinatorics of the classical ...
Nathaniel Thiem
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Quantum Symmetric Functions [PDF]
Communications in Algebra, 2005 We study quantum deformations of Poisson orbivarieties. Given a Poisson manifold $(\mathbb{R}^{m},α)$ we consider the Poisson orbivariety $(\mathbb{R}^{m})^{n}/S_{n}$. The Kontsevich star product on functions on $(\mathbb{R}^{m})^{n}$ induces a star product on functions on $(\mathbb{R}^{m})^{n}/S_{n}$.
Diaz, Rafael, Pariguan, Eddy
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NONCOMMUTATIVE SYMMETRIC FUNCTIONS ASSOCIATED WITH A CODE, LAZARD ELIMINATION, AND WITT VECTORS [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 The construction of the universal ring of Witt vectors is related to Lazard's factorizations of free monoids by means of a noncommutative analogue. This is done by associating to a code a specialization of noncommutative symmetric functions.
Jean-Gabriel Luque, Jean-Yves Thibon
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Infinite log-concavity: developments and conjectures [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Given a sequence $(a_k)=a_0,a_1,a_2,\ldots$ of real numbers, define a new sequence $\mathcal{L}(a_k)=(b_k)$ where $b_k=a_k^2-a_{k-1}a_{k+1}$. So $(a_k)$ is log-concave if and only if $(b_k)$ is a nonnegative sequence. Call $(a_k)$ $\textit{infinitely log-
Peter R. W. McNamara, Bruce E. Sagan
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Weakly symmetric functions on spaces of Lebesgue integrable functions
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this work, we present the notion of a weakly symmetric function. We show that the subset of all weakly symmetric elements of an arbitrary vector space of functions is a vector space.
T.V. Vasylyshyn, V.A. Zahorodniuk
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Linear Fractional Transformations of Nevanlinna Functions Associated with a Nonnegative Operator [PDF]
, 2011 In the present paper a subclass of scalar Nevanlinna functions is studied, which coincides with the class of Weyl functions associated to a nonnegative symmetric operator of defect one in a Hilbert space.
Winkler, Henrik, +15 more
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The Murnaghan―Nakayama rule for k-Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We prove a Murnaghan–Nakayama rule for k-Schur functions of Lapointe and Morse. That is, we give an explicit formula for the expansion of the product of a power sum symmetric function and a k-Schur function in terms of k-Schur functions.
Jason Bandlow +2 more
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