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Elliptic function

In the mathematical field of complex analysis, elliptic functions are special kinds of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Those integrals are in turn named elliptic because they first were encountered for the calculation of the arc length of an ellipse.

History, Period lattice and fundamental domain & Liouville's theorems

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Overview

Definition

Period lattice and fundamental domain

Liouville's theorems

Weierstrass ℘-function

Relation to elliptic integrals

History

Literature

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Elliptic function

Nodes58
Edges57
Triples99
Avg. degree1.97
Density0.034483
Components1

How this topic connects Entity context

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Elliptic function

Top relations

related to Literature · 45
Elliptic function → Abramowitz, Akhiezer, AMS, AMS Translations, Apostol, Applied Mathematics Series, Cambridge University Press, Chapter, Commerce, December, Dirichlet Series, Dover Publications, Elements, Elliptic Functions, English, Formulas, Graphs, Handbook, Irene Ann, ISBN
related to history · 19
Elliptic function → Euler, Except, Exercices, Fagnano, Fagnano's, Giulio, It, Italian, Landen, Legendre, Legendre's, Leonhard Euler, Mémoire, Mémoires, Other, Shortly, Swiss, Traité, When
related to External links · 17
Elliptic function → Abel's, Elliptic, Elliptic Functions, Elliptic Integrals, EMS Press, Encyclopedia, Fredrik, Johansson, MAA, Mathematics, Modular Forms, NA, Numerical Evaluation, Schwalm, Translation, William, YouTube
related to Relation to elliptic integrals · 6
Elliptic function → Abel, Carl Gustav Jacobi, Elliptic, Legendre, Niels Henrik Abel, The
related to Weierstrass ℘-function · 4
Elliptic function → For, Lambda, One, Weierstrass
related to 1st theorem · 3
Elliptic function → Liouville's, So, This
related to 2nd theorem · 3
Elliptic function → Every, Lambda, This
related to 3rd theorem · 1
Elliptic function → Lambda
related to Period lattice and fundamental domain · 1
Elliptic function → If

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Important terminology

elliptic functions displaystyle function integrals lambda mathbb wp jacobi theory called lattice domain theorem -function legendre omega sqrt period fundamental

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Elliptic functionrelated to 1st theoremThis0.60section
Elliptic functionrelated to 1st theoremLiouville's0.60section
Elliptic functionrelated to 1st theoremSo0.60section
Elliptic functionrelated to 2nd theoremEvery0.60section
Elliptic functionrelated to 2nd theoremLambda0.60section
Elliptic functionrelated to 2nd theoremThis0.60section
Elliptic functionrelated to 3rd theoremLambda0.60section
Elliptic functionrelated to External linksElliptic0.60section
Elliptic functionrelated to External linksEncyclopedia0.60section
Elliptic functionrelated to External linksMathematics0.60section
Elliptic functionrelated to External linksEMS Press0.60section
Elliptic functionrelated to External linksMAA0.60section

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