Results 21 to 30 of about 9,947 (289)

Some Identities Involving Two-Variable Partially Degenerate Hermite Polynomials Induced from Differential Equations and Structure of Their Roots

open access: yesMathematics, 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]

open access: yesJournal 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

The involutive system of higher-spin equations

open access: yesNuclear 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
doaj   +1 more source

Factorial Characters and Tokuyama's Identity for Classical Groups [PDF]

open access: yesDiscrete 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
doaj   +1 more source

Identities of the left-symmetric Witt algebras [PDF]

open access: yesInternational Journal of Algebra and Computation, 2016
Let [Formula: see text] be the polynomial algebra over a field [Formula: see text] of characteristic zero in the variables [Formula: see text] and [Formula: see text] be the left-symmetric Witt algebra of all derivations of [Formula: see text] [D. Burde, Left-symmetric algebras, or pre-Lie algebras in geometry and physics, Cent. Eur. J. Math.
Daniyar Kozybaev, Ualbai Umirbaev
openaire   +2 more sources

Differential Equations Associated with Two Variable Degenerate Hermite Polynomials

open access: yesMathematics, 2020
In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
doaj   +1 more source

A new family of Apostol–Genocchi polynomials associated with their certain identities

open access: yesApplied Mathematics in Science and Engineering, 2023
In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such ...
Nabiullah Khan   +3 more
doaj   +1 more source

Some identities of type 2 q-Bernoulli polynomials

open access: yesJournal of Inequalities and Applications, 2020
Recently, symmetric properties of some special polynomials arising from p-adic q-integrals on Z p ${\mathbb{Z}}_{p}$ have been investigated extensively by many researchers.
Sang Jo Yun, Jin-Woo Park
doaj   +1 more source

A generalization of André-Jeannin’s symmetric identity [PDF]

open access: yesPure Mathematics and Applications, 2018
Abstract In 1997, Richard André-Jeannin obtained a symmetric identity involving the reciprocal of the Horadam numbers W n , defined by a three-term recurrence W
openaire   +3 more sources

Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials

open access: yesMathematics, 2023
The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials.
Shahid Ahmad Wani   +3 more
doaj   +1 more source

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