Results 71 to 80 of about 1,712 (185)
Determinants of elliptic hypergeometric integrals [PDF]
, 2009 We start from an interpretation of the BC_(2)-symmetric “Type I” (elliptic Dixon) elliptic hypergeometric integral evaluation as a formula for a Casoratian of the elliptic hypergeometric equation and then generalize this construction to higher ...
Rains, Eric M. +5 more
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Incomplete Elliptic Integrals in Ramanujan's Lost Notebook [PDF]
, 2013 [[abstract]]On pages 51–53 of his lost notebook, S. Ramanujan expressed several integrals of products of Dedekind eta-functions in terms of incomplete elliptic integrals of the first kind. In this paper, we prove these identities using only results found
Berndt, Bruce C. ; Chan, Heng-Huat; Huang, Sen-Shan
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Electrostatic interaction energy between two coaxial parallel uniformly charged disks
Results in Physics, 2019 We calculate exactly the electrostatic interaction energy between two coaxial parallel uniformly charged infinitely thin disks. For the sake of generality, it is assumed that the disks have different radii and contain different amounts of total electric ...
Orion Ciftja
doaj +1 more source
Integrability of reciprocals of the Green’s function for elliptic operators: counterexamples [PDF]
Proceedings of the American Mathematical Society, 1993 We construct examples of elliptic operators for which the set of points where the reciprocal 1 /
openaire +3 more sources
Functional equations for zeta functions of groups and rings [PDF]
, 2010 We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
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Numerics for elliptic Feynman integrals [PDF]
, 2019 The Standard Model involves several heavy particles: the Z- and W-bosons, the Higgs boson and the top quark. Precision studies of these particles require on the theoretical side quantum corrections at the two-loop order and beyond.
Weinzierl, S +9 more
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Limits of elliptic hypergeometric integrals [PDF]
, 2006 In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric integrals. The purpose of the present note is to explore more carefully the various limiting cases (hyperbolic, trigonometric, rational, and ...
Rains, Eric M.
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Inequalities and bounds for generalized complete elliptic integrals [PDF]
, 2011 Computable bounds for the generalized complete elliptic integrals of the first and second kind are obtained. Also, bounds for some combinations and products for integrals under discussion are established.
Neuman, Edward, Edward Neuman
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Low momentum expansion of one loop amplitudes in heterotic string theory
Journal of High Energy Physics, 2017 We consider the low momentum expansion of the four graviton and the two graviton-two gluon amplitudes in heterotic string theory at one loop in ten dimensions, and analyze contributions upto the D2ℛ4 $$ {D}^2{\mathrm{\mathcal{R}}}^4 $$ interaction from ...
Anirban Basu
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Limits of elliptic hypergeometric integrals [PDF]
, 2009 In Ann. Math., to appear, 2008, the author proved a number of multivariate elliptic hypergeometric integrals. The purpose of the present note is to explore more carefully the various limiting cases (hyperbolic, trigonometric, rational, and classical ...
Rains, Eric M.
core