Results 21 to 30 of about 2,266,070 (328)
SYMMETRIC IDENTITIES FOR DEGENERATE q-POLY-GENOCCHI NUMBERS AND POLYNOMIALS
South East Asian J. of Mathematics and Mathematical Sciences, 2023 In the present article, we introduce a new class of degenerate q-poly- Genocchi polynomials and numbers including q-logarithm function. We derive some relations with this polynomials and the Stirling numbers of the second kind and investigate some ...
Mohd Nadeem, W. Khan
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Applications of Symmetric Identities for Apostol-Bernoulli and Apostol-Euler Functions
Symmetry, 2023 In this paper, we perform a further investigation on the Apostol–Bernoulli and Apostol–Euler functions introduced by Luo. By using the Fourier expansions of the Apostol–Bernoulli and Apostol–Euler polynomials, we establish some symmetric identities for ...
Yuan He
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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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Trace identities for skew-symmetric matrices
, 2016 We derive an expression for the product of the Pfaffians of two skew-symmetric matrices A and B as a sum of products of the traces of powers of AB and an expression for the inverse matrix A$^{-1}$, or equivalently B$^{-1}$, as a finite-order polynomial of AB with coefficients depending on the traces of powers of AB.
M. Krivoruchenko
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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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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
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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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AIMS Mathematics, 2023 The 2-variable modified partially degenerate Hermite (MPDH) polynomials are the subject of our study in this paper. We found basic properties of these polynomials and obtained several types of differential equations related to MPDH polynomials.
Gyung Won Hwang +2 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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