Results 31 to 40 of about 813 (211)
Some identities on degenerate poly-Euler polynomials arising from degenerate polylogarithm functions
Applied Mathematics in Science and Engineering, 2023 Our main focus here is a new type of degenerate poly-Euler polynomials and numbers. This focus stems from their nascent importance for applications in combinatorics, number theory and in other aspects of applied mathematics.
Lingling Luo +3 more
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Descent for l-Adic Polylogarithms [PDF]
Nagoya Mathematical Journal, 2008 AbstractLet L be a finite Galois extension of a number field K. Let G:= Gal(L/K). Let z1,…, zN ∊ L* \ {1} and let m1 …, mN ∊ ℚl. Let us assume that the linear combination of l-adic polylogarithms (constructed in some given way) is a cocycle on GL and that the formal sum is G-invariant. Then we show that cn determines a unique cocycle sn on GK.
Douai, Jean-Claude +1 more
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Fractal and Fractional, 2023 In this paper, we consider an approximation of the Caputo fractional derivative and its asymptotic expansion formula, whose generating function is the polylogarithm function.
Yuri Dimitrov +2 more
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Nagoya Mathematical Journal, 1989 Some functions related to the complex dilogarithmic function(in the notation of Lewin [9]) are known to occur in connection with algebraic K-theory and characteristic classes (see e.g. Bloch [1], Gelfand-MacPherson [7], Dupont [5], and the references given there).
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Infinitesimal and tangent to polylogarithmic complexes for higher weight
AIMS Mathematics, 2019 Motivic and polylogarithmic complexes have deep connections with $K$-theory. This article gives morphisms (different from Goncharov's generalized maps) between $\Bbbk$-vector spaces of Cathelineau's infinitesimal complex for weight $n$.
Raziuddin Siddiqui
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Representation of some special functions on transcendence basis
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2020 The special functions such as multiple harmonic sums, polyzetas or multiple polylogarithm functions are compatible with quasi-shuffle algebras. By using transcendence bases of the quasi-shuffle algebras studied in the paper [4], we will express non ...
Bui Van Chien
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Proceedings of the Glasgow Mathematical Association, 1964 The nth order polylogarithm Lin(z) is defined for |z| ≦ 1 by([4, p. 169], cf. [2, §1. 11 (14) and § 1. 11. 1]). The definition can be extended to all values of zin the z-plane cut along the real axis from 1 to ∝ by the formula[2, §1. 11(3)]. Then Lin(z) is regular in the cut plane, and there is a differential recurrence relation [4, p.
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Polylogarithms and the Asymptotic Formula for the Moments of Lebesgue’s Singular Function
Моделирование и анализ информационных систем, 2016 Recall the Lebesgue's singular function. We define a Lebesgue's singular function \(L(t)\) as the unique continuous solution of the functional equation$$L(t) = qL(2t) +pL(2t-1),$$where \(p,q>0\), \(q=1-p\), \(p\ne q\).The moments of Lebesque' singular
E. A. Timofeev
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Poly-Genocchi polynomials and its applications
AIMS Mathematics, 2021 In this paper, we discussed some new properties on the newly defined family of Genocchi polynomials, called poly-Genocchi polynomials. These polynomials are extensions from the Genocchi polynomials via generating function involving polylogarithm function.
Chang Phang +2 more
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A construction of the polylogarithm motive [PDF]
Épijournal de Géométrie AlgébriqueClassical polylogarithms give rise to a variation of mixed Hodge-Tate structures on the punctured projective line $S=\mathbb{P}^1\setminus \{0, 1, \infty\}$, which is an extension of the symmetric power of the Kummer variation by a trivial variation.
Clément Dupont, Javier Fresán
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