Results 21 to 30 of about 1,483,662 (311)

Symmetric g-functions

Topology and its Applications, 2003
Several classes of generalized metric spaces \((X,\tau)\) were characterized by \(g\)-functions \(g:\mathbb N \times X \rightarrow \tau\) such that \(x\in g(n,x)\) for each \(x\in X\) and each \(n\in \mathbb N\). The authors of this paper study the role of symmetric \(g\)-functions, i.e., such \(g\)-functions which satisfy \(x\in g(n,y)\) if and only ...
Good, Chris, Jennings, Daniel, Mohamad, Abdul M.   +2 more
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BCn-symmetric abelian functions [PDF]

Duke Mathematical Journal, 2006
59 pages, LaTeX (with AMS macros).
openaire   +5 more sources

Fractional q-symmetric calculus on a time scale

Advances in Difference Equations, 2017
In this paper, the definitions of q-symmetric exponential function and q-symmetric gamma function are presented. By a q-symmetric exponential function, we shall illustrate the Laplace transform method and define and solve several families of linear ...
Mingzhe Sun, Chengmin Hou
doaj   +1 more source

Continuous block-symmetric polynomials of degree at most two on the space $(L_\infty)^2$

Karpatsʹkì Matematičnì Publìkacìï, 2016
We introduce block-symmetric polynomials on $(L_\infty)^2$ and prove that every continuous block-symmetric polynomial of degree at most two on $(L_\infty)^2$ can be uniquely represented by some "elementary" block-symmetric polynomials.
T.V. Vasylyshyn
doaj   +1 more source

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
doaj   +1 more source

Truncated homogeneous symmetric functions [PDF]

Linear and Multilinear Algebra, 2020
Extending the elementary and complete homogeneous symmetric functions, we introduce the truncated homogeneous symmetric function $h_ ^{\dd}$ in $(\ref{THSF})$ for any integer partition $ $, and show that the transition matrix from $h_ ^{\dd}$ to the power sum symmetric functions $p_ $ is given by \[M(h^{\dd},p)=M'(p,m)z^{-1}D^{\dd},\] where $D^{\dd}
Houshan Fu, Zhousheng Mei
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0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra [PDF]

, 2013
We define an action of the 0-Hecke algebra of type A on the Stanley-Reisner ring of the Boolean algebra. By studying this action we obtain a family of multivariate noncommutative symmetric functions, which specialize to the noncommutative Hall-Littlewood
Huang, Jia
core   +2 more sources

Isomorphisms of algebras of symmetric functions on spaces $\ell_p$

Математичні Студії
The work is devoted to the study of algebras of entire symmetric functions on some Banach spaces of sequences. A function on a vector space is called symmetric with respect to some fixed group $G$ of operators acting on this space, or $G$-symmetric, if ...
T. V. Vasylyshyn
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A New Pseudo-Type κ-Fold Symmetric Bi-Univalent Function Class

Axioms, 2023
We introduce and study a new pseudo-type κ-fold symmetric bi-univalent function class that meets certain subordination conditions in this article. For functions in the newly formed class, the initial coefficient bounds are obtained.
Sondekola Rudra Swamy, Luminita-Ioana Cotîrlă   +1 more
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Algebras of symmetric analytic functions on Cartesian powers of Lebesgue integrable in a power $p\in [1,+\infty)$ functions

Karpatsʹkì Matematičnì Publìkacìï, 2021
The work is devoted to the study of Fréchet algebras of symmetric (invariant under the composition of every of components of its argument with any measure preserving bijection of the domain of components of the argument) analytic functions on Cartesian ...
T.V. Vasylyshyn
doaj   +1 more source