Results 21 to 30 of about 3,643,351 (276)
Approximations related to the complete p-elliptic integrals
Open Mathematics, 2022 Abstract In this paper, the authors present some monotonicity properties for certain functions involving the complete p-elliptic integrals of the first and second kinds, by showing the monotonicity and concavity-convexity properties of certain combinations defined in terms of
Zhong Genhong, Ma Xiaoyan, Wang Fei
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Journal of High Energy Physics, 2021 Using modern multiloop calculation methods, we derive the analytical expressions for the total cross sections of the processes e − γ → e − X X ¯ $$ {e}^{-}X\overline{X} $$ with X = μ, γ or e at arbitrary energies.
Roman N. Lee +2 more
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Alternating direction implicit method for poisson equation with integral conditions
Mathematical Modelling and Analysis, 2023 In this paper, we investigate the convergence of the Peaceman-Rachford Alternating Direction Implicit method for the system of difference equations, approximating the two-dimensional elliptic equations in rectangular domain with nonlocal integral ...
Olga Štikonienė, Mifodijus Sapagovas
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On generalized complete elliptic integrals and modular functions [PDF]
Proceedings of the Edinburgh Mathematical Society, 2012 AbstractThis paper deals with generalized elliptic integrals and generalized modular functions. Several new inequalities are given for these and related functions.
Bhayo, B. A., Vuorinen, M.
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Localized direct segregated boundary-domain integral equations for variable-coefficient transmission problems with interface crack [PDF]
, 2011 The full text of the published article can be accessed at the link belowSome transmission problems for scalar second order elliptic partial differential equations are considered in a bounded composite domain consisting of adjacent anisotropic subdomains ...
Mikhailov, SE +2 more
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Stable anisotropic minimal hypersurfaces in $\mathbf {R}^{4}$
Forum of Mathematics, Pi, 2023 We show that a complete, two-sided, stable immersed anisotropic minimal hypersurface in $\mathbf {R}^4$ has intrinsic cubic volume growth, provided the parametric elliptic integral is $C^2$ -close to the area functional.
Otis Chodosh, Chao Li
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Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series
Journal of High Energy Physics, 2018 We present a generalization of the symbol calculus from ordinary multiple polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a coaction on large classes of periods that is applied in particular to elliptic ...
Johannes Broedel +4 more
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Corrections in “Tables of Complete Elliptic Integrals” [PDF]
Journal of Mathematics and Physics, 1941 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Applied Mathematics, 2012 Accurate approximate closed-form solutions for the cubic-quintic Duffing oscillator are obtained in terms of elementary functions. To do this, we use the previous results obtained using a cubication method in which the restoring force is expanded in ...
A. Beléndez +6 more
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Monotonicity of the ratio for the complete elliptic integral and Stolarsky mean
Journal of Inequalities and Applications, 2016 In the article, we prove that the function r ↦ E ( r ) / S 9 / 2 − p , p ( 1 , r ′ ) $r\mapsto \mathcal{E}(r)/S_{9/2-p, p}(1, r')$ is strictly increasing on ( 0 , 1 ) $(0, 1)$ for p ≤ 7 / 4 $p\leq7/4$ and strictly decreasing on ( 0 , 1 ) $(0, 1)$ for p ∈
Zhen-Hang Yang, Yu-Ming Chu, Wen Zhang
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