Results 11 to 20 of about 774 (251)
An inequality for generalized complete elliptic integral [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we show an elegant inequality involving the ratio of generalized complete elliptic integrals of the first kind and generalize an interesting result of Alzer.
Li Yin +3 more
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On Generalized Complete (p, q)-Elliptic Integrals [PDF]
Acta Mathematica Scientia, 2021 In this paper, authors study the generalized complete $(p,q)$-elliptic integrals of the first and the second kind as an application of generalized trigonometric functions with two parameters, and establish the Turán type inequalities of these functions.
Yin, Li +2 more
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On the Complete Elliptic Integrals and Babylonian Identity II: An Approximation for the Complete Elliptic Integral of the First Kind [PDF]
Bulletin of Mathematical Sciences and Applications, 2013 Using the Theorem 4 of previous paper, I evaluate the complete elliptic integral of the first kind in approximate analytical closed form, by means of Bessel functions.
Edigles Guedes, Raja Rama Gandhi
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INEQUALITIES OF THE COMPLETE ELLIPTIC INTEGRALS
Tamkang Journal of Mathematics, 1998 In this article, using Tchebycheff's integral inequality, the authors establish some estimates and inequalities for three kinds of the complete elliptic integrals.
Qi, Feng, Huang, Zheng
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Journal of High Energy Physics, 2023 We studied the two-loop non-factorizable Feynman diagrams for the t-channel single-top production process in quantum chromodynamics. We present a systematic computation of master integrals of the two-loop Feynman diagrams with one internal massive ...
Zihao Wu, Ming-Ming Long
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An Inequality for Complete Elliptic Integrals
Journal of Mathematical Analysis and Applications, 1994 In [the second author and \textit{J. Pfaltzgraff}, J. Math. Anal. Appl. 179, No. 1,110-119 (1993; Zbl 0797.31009)] it has been proved that \[ c_ 1 m(Q)\leq \mu(Q)\leq c_ 2 m(Q), \] where \(\mu(Q)\), \(m(Q)\) denote, respectively, the Robin modulus, and the exterior modulus of the rectangle \(Q\), and \(c_ 1\), \(c_ 2\) are some positive absolute ...
Anderson, G.D. +2 more
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Nuclear Physics B, 2017 We study the analytic continuation of Feynman integrals from the kite family, expressed in terms of elliptic generalisations of (multiple) polylogarithms. Expressed in this way, the Feynman integrals are functions of two periods of an elliptic curve.
Christian Bogner +2 more
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Magnetostatic interaction energy between a point magnet and a ring magnet
Physics Open, 2023 We find an exact closed-form expression for the magnetostatic interaction energy between a point magnet and a ring magnet in terms of complete elliptic integrals.
Niranjan Warnakulasooriya +5 more
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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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Functional Inequalities for Generalized Complete Elliptic Integrals with Two Parameters
Journal of Function Spaces, 2019 In this paper, we establish some functional inequalities for generalized complete elliptic integrals with two parameters, such as estimation of bounds and mean inequalities.
Xiangkai Dou, Li Yin, Xiu-Li Lin
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