Results 11 to 20 of about 29,966 (283)
Elliptic polylogarithms and iterated integrals on elliptic curves. Part I: general formalism
Journal of High Energy Physics, 2018 We introduce a class of iterated integrals, defined through a set of linearly independent integration kernels on elliptic curves. As a direct generalisation of multiple polylogarithms, we construct our set of integration kernels ensuring that they have ...
Johannes Broedel +3 more
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Mathematics, 2023 Spectral representations of iterated Itô and Stratonovich stochastic integrals of arbitrary multiplicity, including integrals from Taylor–Itô and Taylor–Stratonovich expansions, are obtained by the spectral method.
Konstantin Rybakov
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Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms
Journal of High Energy Physics, 2022 We continue the analysis of modular invariant functions, subject to inhomogeneous Laplace eigenvalue equations, that were determined in terms of Poincaré series in a companion paper. The source term of the Laplace equation is a product of (derivatives of)
Daniele Dorigoni +2 more
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Homogeneous approximation for minimal realizations of series of iterated integrals
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 In the paper, realizable series of iterated integrals with scalar coefficients are considered and an algebraic approach to the homogeneous approximation problem for nonlinear control systems with output is developed.
D. M. Andreieva, S. Yu. Ignatovich
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, 2022 The article is devoted to the mean-square approximation of iterated Ito and Stratonovich stochastic integrals in the context of the numerical integration of Ito stochastic differential equations.
Kuznetsov, Dmitriy F.
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European Physical Journal C: Particles and Fields, 2023 We present a calculation of the master integrals (MI’s) required for the calculation of the Electroweak corrections to $$gg\rightarrow \gamma \gamma $$ g g → γ γ production in which the process contains a light quark loop.
Gabriele Fiore, Ciaran Williams
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Analytic Detection in Homotopy Groups of Smooth Manifolds
Современная математика: Фундаментальные направления, 2020 In this paper, for the mapping of a sphere into a compact orientable manifoldSn→M,n⩾1, we solve the problem of determining whether it represents a nontrivial element in the homotopy group of the manifoldπn(M) πn(M ). For this purpose, we consistently use
I. S. Zubov
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Iterated Integrals of Jacobi Polynomials [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2019 Let P(α,β)n be the n-th monic Jacobi polynomial with α,β>−1. Given m numbers ω1,…,ωm∈C∖[−1,1], let Ωm=(ω1,…,ωm) and P(α,β)n,m,Ωm be the m-th iterated integral of (n+m)!n!P(α,β)n normalized by the conditions dkP(α,β)n,m,Ωmdzk(ωm−k)=0, for k=0,1,…,m−1. The main purpose of the paper is to study the algebraic and asymptotic properties of the sequence of ...
Hector Pijeira-Cabrera +1 more
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Iterated differential forms III: Integral calculus [PDF]
Doklady Mathematics, 2007 7 pages, submitted to Math ...
VINOGRADOV A. M, VITAGLIANO, LUCA
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Interchanging Iterated Integration [PDF]
Proceedings of the American Mathematical Society, 1978 If k ( x , y ) k(x,y) is a measurable, real valued, finite a.e. function on X × Y X \times Y , then necessary and sufficient conditions are given for the two iterated Lebesgue integrals of k ( x , y )
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