Results 1 to 10 of about 3,110 (167)
Higher Polynomial Identities for Mutations of Associative Algebras [PDF]
Results in Mathematics, 2023 Murray Bremner +2 more
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New Operated Polynomial Identities and Gröbner-Shirshov Bases
Mathematics, 2022 Twenty years ago, Rota posed the problem of finding all possible algebraic identities that can be satisfied by a linear operator on an algebra, named Rota’s Classification Problem later. Rota’s Classification Problem has proceeded two steps to understand
Jinwei Wang, Zhicheng Zhu, Xing Gao
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A Class of Laguerre-Based Generalized Humbert Polynomials
International Journal of Differential Equations, 2021 Several mathematicians have extensively investigated polynomials, their extensions, and their applications in various other research areas for a decade.
Saniya Batra, Prakriti Rai
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Special Matrices, 2023 Denote by σn{\sigma }_{n} the n-th Stirling polynomial in the sense of the well-known book Concrete Mathematics by Graham, Knuth and Patashnik. We show that there exist developments xσn(x)=∑j=0n(2jj!)−1qn−j(j)xjx{\sigma }_{n}\left(x)={\sum }_{j=0}^{n ...
Kovačec Alexander +1 more
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Factorial Characters and Tokuyama's Identity for Classical Groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 In this paper we introduce factorial characters for the classical groups and derive a number of central results. Classically, the factorial Schur function plays a fundamental role in traditional symmetric function theory and also in Schubert polynomial ...
Angèle M. Hamel, Ronald C. King
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Some extensions for the several combinatorial identities
Advances in Difference Equations, 2021 In this paper, we give some extensions for Mortenson’s identities in series with the Bell polynomial using the partial fraction decomposition. As applications, we obtain some combinatorial identities involving the harmonic numbers.
Gao-Wen Xi, Qiu-Ming Luo
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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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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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Matrix Approaches for Gould–Hopper–Laguerre–Sheffer Matrix Polynomial Identities
Axioms, 2023 The Gould–Hopper–Laguerre–Sheffer matrix polynomials were initially studied using operational methods, but in this paper, we investigate them using matrix techniques.
Tabinda Nahid +2 more
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CC-circuits and the expressive power of nilpotent algebras [PDF]
Logical Methods in Computer Science, 2022 We show that CC-circuits of bounded depth have the same expressive power as circuits over finite nilpotent algebras from congruence modular varieties. We use this result to phrase and discuss a new algebraic version of Barrington, Straubing and Th\'erien'
Michael Kompatscher
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