Results 21 to 30 of about 23,188 (258)
Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions
Journal of Function Spaces, 2022 To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz +3 more
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On the Schur Function Expansion of a Symmetric Quasi-symmetric Function [PDF]
The Electronic Journal of Combinatorics, 2019 Egge, Loehr, and Warrington proved a formula for the Schur function expansion of a symmetric function in terms of its expansion in fundamental quasi-symmetric functions. Their formula involves the coefficients of a modified inverse Kostka matrix. Recently Garsia and Remmel gave a simpler reformulation of Egge, Loehr, and Warrington's result, with a new
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SYMMETRIC REPRESENTATIONS OF HOLOMORPHIC FUNCTIONS
Проблемы анализа, 2018 In this article a class of symmetric functions is defined and used in some special representation of holomorphic functions. This representation plays an important role in transitions from concrete problems of projective description to equivalent problems
Shishkin A . V .
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Powers of the Vandermonde determinant, Schur functions, and the dimension game [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Since every even power of the Vandermonde determinant is a symmetric polynomial, we want to understand its decomposition in terms of the basis of Schur functions.
Cristina Ballantine
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Quantum Product of Symmetric Functions
International Journal of Mathematics and Mathematical Sciences, 2015 We provide an explicit description of the quantum product of multisymmetric functions using the elementary multisymmetric functions introduced by Vaccarino.
Rafael Díaz, Eddy Pariguan
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Transition matrices for symmetric and quasisymmetric Hall-Littlewood polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce explicit combinatorial interpretations for the coefficients in some of the transition matrices relating to skew Hall-Littlewood polynomials $P_{\lambda / \mu}(x;t)$ and Hivert's quasisymmetric Hall-Littlewood polynomials $G_{\gamma}(x;t ...
Nicolas Loehr +2 more
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Redfield-Pólya theorem in $\mathrm{WSym}$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We give noncommutative versions of the Redfield-Pólya theorem in $\mathrm{WSym}$, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.
Jean-Paul Bultel +3 more
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A categorification of the chromatic symmetric polynomial [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Stanley chromatic polynomial of a graph $G$ is a symmetric function generalization of the chromatic polynomial, and has interesting combinatorial properties.
Radmila Sazdanović, Martha Yip
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Symmetric Busemann functions [PDF]
Pacific Journal of Mathematics, 2001 A result connecting symmetric spaces on one hand and symmetry of Busemann functions and the co-ray relation on the other is proved. This result is applied to hyperbolic and Minkowski geometries.
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From Symmetric Functions to Partition Identities
Axioms, 2023 In this paper, we show that some classical results from q-analysis and partition theory are specializations of the fundamental relationships between complete and elementary symmetric functions.
Mircea Merca
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