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Two dimensional symmetric and antisymmetric generalizations of sine functions [PDF]
Journal of Mathematical Physics, 2009 Properties of 2-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutation of their two variables are described.
Britanak V. +6 more
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Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions [PDF]
Journal of Mathematical Physics, 2009 Properties of the four families of recently introduced special functions of two real variables, denoted here by $E^\pm$, and $\cos^\pm$, are studied. The superscripts $^+$ and $^-$ refer to the symmetric and antisymmetric functions respectively.
Bulirsch R. +8 more
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SYMMETRIC AND GENERATING FUNCTIONS [PDF]
International Electronic Journal of Pure and Applied Mathematics, 2014 In this paper, we calculate the generating functions by using the con- cepts of symmetric functions. Although the methods cited in previous works are in principle constructive, we are concerned here only with the question of manipulating combinatorial objects, known as symmetric op- erators.
Ali Boussayoud, Mohamed Kerada
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Hochschild cohomology of symmetric groups and generating functions, II
Research in the Mathematical Sciences, 2023 AbstractWe relate the generating functions of the dimensions of the Hochschild cohomology in any fixed degree of the symmetric groups with those of blocks of the symmetric groups. We show that the first Hochschild cohomology of a positive defect block of a symmetric group is nonzero, answering in the affirmative a question of the third author.
David Benson +2 more
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Lattice point generating functions and symmetric cones [PDF]
Journal of Algebraic Combinatorics, 2012 19 ...
Beck, Matthias +3 more
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Generating functions and companion symmetric linear functionals [PDF]
Periodica Mathematica Hungarica, 2003 In this contribution we analyze the generating functions for polynomials orthogonal with respect to a symmetric linear functional u, i.e., a linear application in the linear space of polynomials with complex coefficients such that $$u\left({x^{2n+1}}\right)=0$$.
García-Caballero, E. M. +2 more
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Symmetric and generating functions of generalized (p,q)-numbers
Kuwait Journal of Science, 2021 In this paper, we will firstly define a new generalization of numbers (p, q) and then derive the appropriate Binet's formula and generating functions concerning (p,q)-Fibonacci numbers, (p,q)- Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q)-Jacobsthal numbers and (p,q)-Jacobsthal Lucas numbers.
Nabiha Saba +2 more
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Symmetric polynomials, generalized Jacobi-Trudi identities and τ-functions [PDF]
Journal of Mathematical Physics, 2018 An element [Φ]∈GrnH+,F of the Grassmannian of n-dimensional subspaces of the Hardy space H+=H2, extended over the field F = C(x1, …, xn), may be associated to any polynomial basis ϕ = {ϕ0, ϕ1, ⋯ } for C(x). The Plücker coordinates Sλ,nϕ(x1,…,xn) of [Φ], labeled by partitions λ, provide an analog of Jacobi’s bi-alternant formula, defining a ...
J. Harnad, Eunghyun Lee
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Generalized Bernstein Polynomials and Symmetric Functions
Advances in Applied Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boyer, Robert P, Thiel, Linda C
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Generalized $h$-Statistics and Other Symmetric Functions
The Annals of Statistics, 1974 Dwyer's (1937) $h$-statistic is extended to the generalized $h$-statistic $h_{p_1\cdots p_u}$ such that $E(h_{p_1\cdots p_u}) = \mu_{p_1} \cdots \mu_{p_u}$, similar to the extension of Fisher's $k$-statistic to the generalized $k$-statistic $k_{p_1\cdots p_u}$ requiring $E(k_{p_1\cdots p_u}) = \kappa_{p_1} \cdots \kappa_{p_u}$.
Tracy, D. S., Gupta, B. C.
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