Results 1 to 10 of about 205 (112)

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
doaj   +5 more sources

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, D S Kim, Jongkyum Kwon
exaly   +4 more sources

Symmetric Identities for Euler Polynomials [PDF]

Graphs and Combinatorics, 2010
9 pages. Accepted by Graphs and Combinatorics.
Zhi-Wei Sun
exaly   +3 more sources

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

Group identities on symmetric units

Journal of Algebra, 2009
The group algebra \(FG\) of a group \(G\) over a field \(F\) is naturally endowed with an involution *, i.e., the \(F\)-linear extension of the involution on \(G\) given by \(g\mapsto g^{-1}\). The latter is called the classical involution and has received substantial interest. Of course, there are obvious more general involutions of \(FG\), namely the
Antonio Giambruno, Sudarshan K Sehgal, C Polcino Milies   +2 more
exaly   +5 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
openaire   +2 more sources

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
doaj   +1 more source

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
openaire   +2 more sources

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
doaj   +1 more source

A symmetrical Eulerian identity [PDF]

Journal of Combinatorics, 2010
Eulerian numbers, introduced by Euler in 1736 [5], while not as ubiquitous as the more familiar Bernoulli numbers, Stirling numbers, harmonic numbers, or binomial coefficients, nevertheless arise in a variety of contexts in enumerative combinatorics, for example, in the enumeration of permutations with a given number of descents [7].
Fan Chung, Ron Graham, Don Knuth
openaire   +1 more source