Results 11 to 20 of about 3,811 (236)
Schur Convexity and Inequalities for a Multivariate Symmetric Function
Journal of Function Spaces, 2020 In the article, we provide the Schur, Schur multiplicative, and Schur harmonic convexities properties for the symmetry function Fnx,r=Fnx1,x2,⋯,xn;r=∏1 ...
Ming-Bao Sun +3 more
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Characteristic Function, Schur Parameters and Pseudocontinuation of Schur functions
, 2023 In [19] there is an approach to the investigation of the pseudocontinuability of Schur functions in terms of Schur parameters. In particular, there was obtained a criterion for the pseudocontinuability of Schur functions and the Schur parameters of rational Schur functions were described.
Dubovoy, Vladimir K. +4 more
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Generalized Schur Functions and Augmented Schur Parameters [PDF]
, 2006 Every Schur function s(z) is the uniform limit of a sequence of finite Blaschke products on compact subsets of the open unit disk. The Blaschke products in the sequence are defined inductively via the Schur parameters of s(z). In this note we prove a similar result for generalized Schur functions.
Dijksma, Aad, Wanjala, Gerald
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European Journal of Combinatorics, 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alain Lascoux, Piotr Pragacz
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Journal of Algebra, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ishikawa, Masao, Wakayama, Masato
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A unimodality identity for a Schur function
Journal of Combinatorial Theory, Series A, 1992 A new formula for the principal specialization of a Schur function is given. The identity implies that the sequence of coefficients of this polynomial is unimodal. The proof of the main result is based on a combinatorial construction due to \textit{S. V. Kerov}, \textit{A. N. Kirillov} and \textit{N. Yu. Reshetikhin} [J. Sov. Math. 41, No. 2, 916--924 (
Frederick M. Goodman +2 more
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A pólya interpretation of the schur function
Journal of Combinatorial Theory, Series A, 1980 AbstractWhen the Schur function is written as a linear combination of products of symmetric power sums, it takes the form of a character-weighted cycle index polynomial. A Pólya-like interpretation is given to this formula and a purely combinatorial proof is given. Some observations concerning general group actions are made.
White, Dennis E
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ScienceOpen Research, 2014 The projective representation of groups was introduced in 1904 by Issai Schur. It differs from the normal representation of groups by a twisting factor, which we call Schur function in this book and which is called sometimes normalized factor set in the ...
Corneliu Constantinescu
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International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
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Row-strict quasisymmetric Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the $\textit{quasisymmetric Schur function basis}$ which are generated combinatorially through fillings of composition diagrams in much the same way as ...
Sarah K Mason, Jeffrey Remmel
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