Results 21 to 30 of about 9,947 (289)
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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A symmetrical Eulerian identity [PDF]
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
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The involutive system of higher-spin equations
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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Factorial Characters and Tokuyama's Identity for Classical Groups [PDF]
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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Identities of the left-symmetric Witt algebras [PDF]
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
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Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
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
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A new family of Apostol–Genocchi polynomials associated with their certain identities
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
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Some identities of type 2 q-Bernoulli polynomials
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
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A generalization of André-Jeannin’s symmetric identity [PDF]
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
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Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials
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
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