Results 1 to 10 of about 15,482 (166)
A polynomial expression for the Hilbert series of the quotient ring of diagonal coinvariants (condensed version) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 A special case of Haiman's identity [Invent. Math. 149 (2002), pp. 371–407] for the character of the quotient ring of diagonal coinvariants under the diagonal action of the symmetric group yields a formula for the bigraded Hilbert series as a sum of ...
J. Haglund
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Sensors, 2020 Since current key management schemes are mainly designed for static and planar networks, they are not very suitable for the layer-cluster wireless sensor networks (WSNs), a WSN layer-cluster key management scheme based on quadratic polynomial and ...
Xiaogang Wang +3 more
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Symmetric Identities for Euler Polynomials [PDF]
Graphs and Combinatorics, 2010 9 pages. Accepted by Graphs and Combinatorics.
Yong Zhang, Zhi-Wei Sun, Hao Pan
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The Abel-Type Polynomial Identities [PDF]
The Electronic Journal of Combinatorics, 2010 The Abel identity is $(x+y)^{n}=\sum\limits_{i=0}^{n}{n\choose i}x (x-iz)^{i-1}(y+iz)^{n-i}$, where $x,y$ and $z$ are real numbers. In this paper we deduce several polynomials expansions, referred to as Abel-type identities, by using Foata's method, and also show some of their applications.
Fengying Huang, Bolian Liu
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Symmetric Identities for Fubini Polynomials [PDF]
Symmetry, 2018 We represent the generating function of w-torsion Fubini polynomials by means of a fermionic p-adic integral on Zp. Then we investigate a quotient of such p-adic integrals on Zp, representing generating functions of three w-torsion Fubini polynomials and derive some new symmetric identities for the w-torsion Fubini and two variable w-torsion Fubini ...
Taekyun Kim 0001 +3 more
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Journal of Function Spaces, 2020 In this article, we develop a novel framework to study for a new class of preinvex functions depending on arbitrary nonnegative function, which is called n-polynomial preinvex functions.
Humaira Kalsoom +3 more
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Identities on factorial Grothendieck polynomials [PDF]
Advances in Applied Mathematics, 2019 Gustafson and Milne proved an identity on the Schur function indexed by a partition of the form $(λ_1-n+k,λ_2-n+k,\ldots,λ_k-n+k)$. On the other hand, Fehér, Némethi and Rimányi found an identity on the Schur function indexed by a partition of the form $(m-k,\ldots,m-k, λ_1,\ldots,λ_k)$.
Peter L. Guo, Sophie C. C. Sun
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On the evaluation of the Tutte polynomial at the points (1,-1) and (2,-1) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 C. Merino [Electron. J. Combin. 15 (2008)] showed that the Tutte polynomial of a complete graph satisfies $t(K_{n+2};2,-1)=t(K_n;1,-1)$. We first give a bijective proof of this identity based on the relationship between the Tutte polynomial and the ...
Andrew Goodall +3 more
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Identity-Type Functions and Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 For a noncommuting product of functions, similar to convolutions, an “identity-type function” leaving a specific function invariant is defined. It is evaluated for any choice of function on which it acts by solving a functional equation. A closed-form representation for the identity-type function of(1+t)−b(b>0)is obtained, which is a solution of a ...
M. Aslam Chaudhry, Asghar Qadir
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An identity involving automorphisms of prime rings inspired by Posner's theorem
Journal of Taibah University for Science, 2018 Let ${\mathcal R}$ be a prime ring with centre ${\mathcal Z}(\mathcal {R})$, $\mathcal {L}$ a non-zero Lie ideal of ${\mathcal R}$, and σ a non-trivial automorphism of ${\mathcal R}$ such that $[[\sigma (u),u], \sigma (u)] \in \mathcal {Z}(\mathcal {R})$
Mohammad Ashraf, Sajad Ahmad Pary
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