Results 81 to 90 of about 1,712 (185)

Three-loop banana integrals with three equal masses

Journal of High Energy Physics
We obtain and solve the canonical differential equations for the three-loop banana integrals in dimensional regularisation when three of the four masses are equal.
Claude Duhr, Sara Maggio
doaj   +1 more source

New Applications of Elliptic Functions and Integrals in GPS Inter-Satellite Communications with Account of General Relativity Theory

Mathematics
During the last 15–20 years, the experimental methods for autonomous navigation and inter-satellite links have been developing rapidly in order to ensure navigation control and data processing without commands from Earth stations.
Bogdan Dimitrov
doaj   +1 more source

Classical Elliptic Hypergeometric Functions And Their Applications [PDF]

, 2008
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid to the examples obeying properties of "classical" special functions. In particular, an elliptic analogue of the Gauss hypergeometric function and
V. P. Spiridonov
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Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams [PDF]

, 2017
We calculate 3-loop master integrals for heavy quark correlators and the 3-loop QCD corrections to the $\rho$-parameter. They obey non-factorizing differential equations of second order with more than three singularities, which cannot be factorized in ...
Ablinger, J., Raab, C. G., De Freitas, A., van Hoeij, M., Schneider, C., Imamoglu, E., Blümlein, J., Radu, C. -S.   +7 more
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On Periodic Solutions of a Nonlinear Reaction-Diffusion System

Известия Иркутского государственного университета: Серия "Математика", 2018
We consider a system of three parabolic partial differential equations of a special reaction-diffusion type. In this system, the terms that describe diffusion are identical and linear with constants coefficients, whereas reactions are described by ...
A. Kosov, E. Semenov
doaj   +1 more source

Iterated elliptic and hypergeometric integrals for Feynman diagrams [PDF]

, 2018
We calculate 3-loop master integrals for heavy quark correlators and the 3-loop quantum chromodynamics corrections to the $ρ$-parameter. They obey non-factorizing differential equations of second order with more than three singularities, which cannot be ...
A. De Freitas, van Hoeij, M., Radu, C.-S., C.-S. Radu, C. Schneider, M. van Hoeij, Freitas, Abilio de, Blümlein, J., Ablinger, J., Raab, C. G., J. Ablinger, Schneider, C., E. Imamoglu, J. Blümlein, C. G. Raab, Imamoglu, E.   +15 more
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Elliptic hypergeometric integrals and elliptic interpolation functions [PDF]

, 2017
On the basis of a joint work with Masahiko Ito, I report some recent progresses in the study of elliptic hypergeometric functions. I discuss in particular a class of elliptic interpolation functions and its application to the q-difference de Rham theory
Noumi, Masatoshi
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Elliptic Selberg integrals [PDF]

, 2001
Van Diejen, J.F. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile.We introduce new Selberg-type multidimensional integrals built of Ruijsenaars' elliptic gamma functions.
Van Diejen, J.F., Spiridonov, V.P.
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Leading singularities and chambers of Correlahedron

Journal of High Energy Physics
In this paper, we explore the chamber dissection of the loop-geometry of Correlahedron, which encodes the loop integrand of four-point stress-energy correlators in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills.
Song He, Yu-tin Huang, Chia-Kai Kuo
doaj   +1 more source

5D AGT conjecture for circular quivers

Physics Letters B
The best way to represent generic conformal blocks is provided by the free-field formalism, where they acquire a form of multiple Dotsenko-Fateev-like integrals of the screening operators.
A. Mironov, A. Morozov, Sh. Shakirov
doaj   +1 more source