Results 1 to 10 of about 8,270 (245)

Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group [PDF]

Mathematics, 2018
In the paper, the authors present some symmetric identities involving the Stirling polynomials and higher order Bernoulli polynomials under all permutations in the finite symmetric group of degree n.
Dongkyu Lim, Feng Qi
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AN IDENTITY ON SYMMETRIC POLYNOMIALS

Tạp chí Khoa học Đại học Đà Lạt, 2020
In this paper, we propose and prove an identity on symmetric polynomials. In order to obtain this identity, we use the interpolation theory, in particular, the Lagrange interpolation formula. In the proof of the identity, we propose two different proofs.
Đặng Tuấn Hiệp, Lê Văn Vĩnh
doaj   +2 more sources

Bilinear Identities on Schur Symmetric Functions [PDF]

Journal of Nonlinear Mathematical Physics, 2021
A series of bilinear identities on the Schur symmetric functions is obtained with the use of Pluecker relations.
Gurevich, Dimitri, Pyatov, Pavel, Saponov, Pavel   +2 more
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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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On the Elementary Symmetric Polynomials and the Zeros of Legendre Polynomials

Journal of Mathematics, 2022
In this paper, we seek to present some new identities for the elementary symmetric polynomials and use these identities to construct new explicit formulas for the Legendre polynomials.
Maryam Salem Alatawi
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Symmetric functions: a bijective identity [PDF]

Proceedings of the American Mathematical Society, 1988
We give a bijective proof of a classical identity which we have named the cyclotomic identity.
Metropolis, N., Rota, Gian-Carlo
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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, Dae San Kim, Gwan-Woo Jang, Jongkyum Kwon   +3 more
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Symmetric Identities for Euler Polynomials [PDF]

Graphs and Combinatorics, 2010
9 pages. Accepted by Graphs and Combinatorics.
Zhang, Yong, Sun, Zhi-Wei, Pan, Hao
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Some Identities Involving Two-Variable Partially Degenerate Hermite Polynomials Induced from Differential Equations and Structure of Their Roots

Mathematics, 2020
In this paper, we introduce two-variable partially degenerate Hermite polynomials and get some new symmetric identities for two-variable partially degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
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The involutive system of higher-spin equations

Nuclear Physics B, 2021
We revisit the problem of consistent free propagation of higher-spin fields in nontrivial backgrounds, focusing on symmetric tensor(-spinor)s. The Fierz-Pauli equations for massive fields in flat space form an involutive system, whose algebraic ...
Rakibur Rahman
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