Feynman integrals, elliptic integrals and two-parameter K3 surfaces
Sign Up to like & getrecommendations! Published in 2025 at "Journal of High Energy Physics"
DOI: 10.1007/jhep06(2025)250
Abstract: The three-loop banana integral with three equal masses and the conformal two-loop five-point traintrack integral in two dimensions are related to a two-parameter family of K3 surfaces. We compute the corresponding periods and the mirror… read more here.
Keywords: two parameter; integrals elliptic; integrals two; feynman integrals ... See more keywords
On “Extending the Double-Hertz Model to Allow Modelling of an Adhesive Elliptical Contact”
Sign Up to like & getrecommendations! Published in 2018 at "Tribology Letters"
DOI: 10.1007/s11249-018-1049-3
Abstract: Legendre’s well-known elliptic integrals are not the only version of elliptic integrals. Carlson’s form, developed in the late 1970s, have many advantages, and are particularly well suited for Hertzian contact analysis. They fit immediately into… read more here.
Keywords: extending double; elliptic integrals; hertz model; double hertz ... See more keywords
Monotonicity and functional inequalities for the complete p-elliptic integrals
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.04.025
Abstract: Abstract Takeuchi's generalized complete elliptic integrals related to generalized trigonometric functions are of importance in the computation of the generalized pi and in the elementary proof of Ramanujan's cubic transformation. In this paper we generalize… read more here.
Keywords: inequalities complete; elliptic integrals; monotonicity functional; functional inequalities ... See more keywords
Precise bounds for the weighted Hölder mean of the complete p-elliptic integrals
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123388
Abstract: Abstract In the article, we present the best possible bounds for the weighted Holder mean of the complete p-elliptic integrals of the first and second kinds, which are the generalizations of the previously results for… read more here.
Keywords: bounds weighted; mean complete; precise bounds; weighted lder ... See more keywords
Regularity of quasi-minimizers for non-uniformly elliptic integrals
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123838
Abstract: Abstract In this paper we consider a class of non-uniformly elliptic integral functionals and we prove the local boundedness of the quasi-minimizers. Our approach is based on a suitable adaptation of the celebrated De Giorgi… read more here.
Keywords: minimizers non; elliptic integrals; regularity quasi; uniformly elliptic ... See more keywords
Hertz theory and Carlson elliptic integrals
Sign Up to like & getrecommendations! Published in 2018 at "Journal of The Mechanics and Physics of Solids"
DOI: 10.1016/j.jmps.2018.06.013
Abstract: Abstract Legendre's well-known elliptic integrals are not the only version of elliptic integrals. Carlson's form, developed in the late 1970s, have many advantages, and are particularly well suited for Hertzian contact analysis. They fit immediately… read more here.
Keywords: elliptic integrals; hertz theory; carlson elliptic; theory carlson ... See more keywords
Indefinite integrals of incomplete elliptic integrals from Jacobi elliptic functions
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DOI: 10.1080/10652469.2017.1304938
Abstract: ABSTRACT Integration formulas are derived for the three canonical Legendre elliptic integrals. These formulas are obtained from the differential equations satified by these elliptic integrals when the independent variable u is the argument of Jacobian… read more here.
Keywords: integrals incomplete; elliptic integrals; indefinite integrals; incomplete elliptic ... See more keywords
Lipschitz regularity for degenerate elliptic integrals with ????, ????-growth
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Calculus of Variations"
DOI: 10.1515/acv-2020-0120
Abstract: Abstract We establish the local Lipschitz continuity and the higher differentiability of vector-valued local minimizers of a class of energy integrals of the Calculus of Variations. The main novelty is that we deal with possibly… read more here.
Keywords: integrals growth; lipschitz regularity; elliptic integrals; degenerate elliptic ... See more keywords
Some definite integrals involving elliptic integrals in association with hypergeometric functions
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DOI: 10.2298/fil2411719s
Abstract: In this paper, the authors make use of the Gamma function as well as the hypergeometric and the generalized hypergeometric functions in order to investigate and develop several definite integrals involving the elliptic integrals of… read more here.
Keywords: elliptic integrals; hypergeometric functions; integrals association; involving elliptic ... See more keywords