Results 91 to 100 of about 12,082,846 (215)

A Lindemann–Weierstrass theorem for 𝐸-functions

open access: yesJournal fĂźr die reine und angewandte Mathematik (Crelles Journal)
Abstract 𝐸-functions were introduced by Siegel in 1929 to generalize Diophantine properties of the exponential function. After developments of Siegel’s methods by Shidlovskii, Nesterenko and André, Beukers proved in 2006 an optimal result on the algebraic independence of the values of 𝐸-functions which generalizes the Lindemann ...
openaire   +3 more sources

Weierstrass's function and chaos

open access: yesHokkaido Mathematical Journal, 1983
YAMAGUTI, Masaya, HATA, Masayoshi
openaire   +2 more sources

Evolutionary method of construction of solutions of polynomials and related generalized dynamics

open access: yesCubo, 2011
Invariant theory as a study of properties of polynomials under translational transformations is developed. Class of polynomials with congruent set of eigenvalues is introduced. Evolution equations for eigenvalues and coefficients remaining the polynomial
Robert M Yamaleev
doaj  

Weierstrass $\wp$-function [PDF]

open access: yesApplications of Mathematics, 1971
openaire   +1 more source

Particle dynamics in spherically symmetric electro-vacuum instantons

open access: yesEuropean Physical Journal C: Particles and Fields
In this paper, we study the geodesic motion in spherically symmetric electro-vacuum Euclidean solutions of the Einstein equation. There are two kinds of such solutions: the Euclidean Reissner–Nordström (ERN) metrics, and the Bertotti–Robinson-like (BR ...
Arthur Garnier
doaj   +1 more source

Approximation properties of a modified Gauss–Weierstrass singular integral in a weighted space

open access: yesJournal of Inequalities and Applications
Singular integral operators play an important role in approximation theory and harmonic analysis. In this paper, we consider a weighted Lebesgue space L p , w $L^{p,w}$ , define a modified Gauss–Weierstrass singular integral on it, and study direct and ...
Abhay Pratap Singh, Uaday Singh
doaj   +1 more source

On the zeros of the Weierstrass ?-Function

open access: yesMathematische Annalen, 1982
EICHLER, M., Zagier, D.
openaire   +1 more source

Weierstrass’s non-differentiable function [PDF]

open access: yesTransactions of the American Mathematical Society, 1916
openaire   +1 more source

Home - About - Disclaimer - Privacy