Results 51 to 60 of about 1,540,688 (355)
On a procedure to derive ϵ-factorised differential equations beyond polylogarithms
Journal of High Energy Physics, 2023 In this manuscript, we elaborate on a procedure to derive ϵ-factorised differential equations for multi-scale, multi-loop classes of Feynman integrals that evaluate to special functions beyond multiple polylogarithms.
Lennard Görges +3 more
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IEEE Access, 2021 This paper presents a simple, didactical and compact solution for the components of the magnetic vector potential and magnetic field generated by a circular arc filament carrying a direct current using the well-known incomplete elliptic integrals, their ...
Migdonio Alberto Gonzalez +1 more
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A Feynman integral depending on two elliptic curves
Journal of High Energy Physics, 2022 We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an ε-form. We study the entries of the
Hildegard Müller, Stefan Weinzierl
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Molecular Oncology, EarlyView.Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova +25 more
wiley +1 more source
On the monotonicity of the quotient of certain abelian integrals
International Journal of Mathematics and Mathematical Sciences, 1993 We prove that the quotient of abelian integrals associated to an elliptic surface is bounded and strictly increasing by first determining the Picard-Fuchs equation satisfied by the abelian integrals and the Riccati equation satisfied by the quotient of ...
Min Ho Lee
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Two dialects for KZB equations: generating one-loop open-string integrals
Journal of High Energy Physics, 2020 Two different constructions generating the low-energy expansion of genus-one configuration-space integrals appearing in one-loop open-string amplitudes have been put forward in refs. [1–3].
Johannes Broedel +2 more
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Aspects of elliptic hypergeometric functions [PDF]
, 2013 General elliptic hypergeometric functions are defined by elliptic hypergeometric integrals. They comprise the elliptic beta integral, elliptic analogues of the Euler-Gauss hypergeometric function and Selberg integral, as well as elliptic extensions of ...
Spiridonov, V. P.
core
Affine Macdonald conjectures and special values of Felder-Varchenko functions [PDF]
, 2017 We refine the statement of the denominator and evaluation conjectures for affine Macdonald polynomials proposed by Etingof-Kirillov Jr. and prove the first non-trivial cases of these conjectures.
Rains, Eric M. +2 more
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FEBS Open Bio, EarlyView.This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
Approximations for Elliptic Integrals [PDF]
Mathematics of Computation, 1968 Closed-form approximations are derived for the three kinds of incomplete elliptic integrals by using the Padé approximations for the square root. An effective analytical representation of the error is presented. Approximations for the complete integrals based on trapezoidal-type integration formulae are also developed.
openaire +2 more sources