Results 31 to 40 of about 66,566 (275)
Local Identities Involving Jacobi Elliptic Functions [PDF]
, 2003 We derive a number of local identities of arbitrary rank involving Jacobi elliptic functions and use them to obtain several new results. First, we present an alternative, simpler derivation of the cyclic identities discovered by us recently, along with ...
A Khare +7 more
core +3 more sources
The anisotropic Ising correlations as elliptic integrals: duality and differential equations
, 2016 We present the reduction of the correlation functions of the Ising model on the anisotropic square lattice to complete elliptic integrals of the first, second and third kind, the extension of Kramers-Wannier duality to anisotropic correlation functions ...
Maillard, J-M., McCoy, B. M.
core +2 more sources
Fractional integrals and derivatives: mapping properties [PDF]
, 2016 This survey is aimed at the audience of readers interested in the information on mapping properties of various forms of fractional integration operators, including multidimensional ones, in a large scale of various known function spaces.As is well known,
Rafeiro, Humberto, Samko, Stefan
core +1 more source
On generalized complete elliptic integrals and modular functions [PDF]
Proceedings of the Edinburgh Mathematical Society, 2012 AbstractThis paper deals with generalized elliptic integrals and generalized modular functions. Several new inequalities are given for these and related functions.
Bhayo, B. A., Vuorinen, M.
openaire +4 more sources
An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals
Journal of High Energy Physics, 2023 In recent years, differential equations have become the method of choice to compute multi-loop Feynman integrals. Whenever they can be cast into canonical form, their solution in terms of special functions is straightforward.
Christoph Dlapa +2 more
doaj +1 more source
On Certain Generalizations of Rational and Irrational Equivariant Functions
Mathematics, 2022 In this paper, we address the case of a particular class of function referred to as the rational equivariant functions. We investigate which elliptic zeta functions arising from integrals of power of ℘, where ℘ is the Weierstrass ℘-function attached to a
Isra Al-Shbeil +3 more
doaj +1 more source
Fonctions et intégrales elliptiques [PDF]
Surveys in Mathematics and its Applications, 2008 This paper presents the basic ideas and properties of elliptic functions and elliptic integrals as an expository essay. It explores some of their numerous consequences and includes applications to some problems such as the simple pendulum and the Euler ...
Ahmed Lesfari
doaj
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
Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode [PDF]
, 2018 We study four problems in the dynamics of a body moving about a fixed point, providing a non-complex, analytical solution for all of them. For the first two, we will work on the motion first integrals. For the symmetrical heavy body, that is the Lagrange-
Ritelli, Daniele +1 more
core +2 more sources
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