Results 1 to 10 of about 141,680 (280)
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
doaj +2 more sources
Journal of High Energy Physics, 2017 We clarify three aspects of non-compact elliptic genera. Firstly, we give a path integral derivation of the elliptic genus of the cigar conformal field theory from its non-linear sigma-model description.
Jan Troost
doaj +3 more sources
From rarefied elliptic beta integral to parafermionic star-triangle relation
Journal of High Energy Physics, 2018 We consider the rarefied elliptic beta integral in various limiting forms. In particular, we obtain an integral identity for parafermionic hyperbolic gamma functions which describes the star-triangle relation for parafermionic Liouville theory.
Gor Sarkissian, Vyacheslav P. Spiridonov
doaj +3 more sources
Mathematics, 2022 This article is the further work of previous papers and also the first study to adopt the elliptic integral approach to solve the forced nonlinear structural acoustic problem.
Yiu-Yin Lee
doaj +1 more source
The positive integral points on the elliptic curve ๐๐=๐๐๐(๐๐+๐) [PDF]
E3S Web of Conferences, 2020 The integral point of elliptic curve is a very important problem in both elementary number theory and analytic number theory. In recent years, scholars have paid great attention to solving the problem of positive integer points on elliptic curve ๐ฆ2 = ๐ ...
Xiancun Du, Zhao Jianhong, Yang Lixing
doaj +1 more source
Symbology for elliptic multiple polylogarithms and the symbol prime
Journal of High Energy Physics, 2023 Elliptic multiple polylogarithms occur in Feynman integrals and in particular in scattering amplitudes. They can be characterized by their symbol, a tensor product in the so-called symbol letters.
Matthias Wilhelm, Chi Zhang
doaj +1 more source
Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic means
Journal of Inequalities and Applications, 2022 In this article, we present the optimal bounds for a special elliptic integral mean in terms of the harmonic combinations of harmonic, geometric, and arithmetic means.
Fan Zhang, Weimao Qian, Hui Zuo Xu
doaj +1 more source
Generalized Elliptic Integrals [PDF]
Computational Methods and Function Theory, 2008 32 pages, 4 ...
Heikkala, Ville +2 more
openaire +3 more sources
Extended elliptic-type integrals with associated properties and Turรกn-type inequalities
Advances in Difference Equations, 2021 Our aim is to study and investigate the family of ( p , q ) $(p, q)$ -extended (incomplete and complete) elliptic-type integrals for which the usual properties and representations of various known results of the (classical) elliptic integrals are ...
Rakesh K. Parmar +3 more
doaj +1 more source
Potentials for the singular elliptic equations and their application
Results in Applied Mathematics, 2020 Potential theory has played a paramount role in both analysis and computation for boundary value problems for elliptic equations. In the middle of the last century, a potential theory was constructed for a two-dimensional elliptic equation with one ...
T.G. Ergashev
doaj +1 more source