Definite integrals of the complete elliptic integral K
Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences, 1976 Definite integrals whose integrands contain the complete elliptic integral of the first kind are ...
Glasser, M.L.
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Certain Definite Integral in Association with Complete Elliptic Integral
, 2022 In this paper we have developed certain definite integral involving elliptic integral of first and second kind.AMS Mathematical Subject Classifications 2020 : 33C75, 33E05 ...
Salahuddin +3 more
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Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Steklov Mathematical Institute RAS.Applying the two-operator approach, the mixed (Dirichlet–Neumann) boundary value ...
Mikhailov, SE, Ayele, TG
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Jordan's Inequality: Refinements, Generalizations, Applications and Related Problems [PDF]
, 2006 This is an expository article. Some developments on refinements, generalizations, applications of Jordan’s inequality and related problems, including some estimates for three classes of complete elliptic integrals and several proofs of Wilker’s ...
Qi, Feng
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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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Mesh-based numerical implementation of the localized boundary-domain integral equation method to a variable-coefficient Neumann problem [PDF]
, 2005 An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed.
Mikhailov, SE, Nakhova, IS
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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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Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]
, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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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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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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