Elliptic integrals

GPTKB entity

Statements (46)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application electrostatics
geodesics
magnetostatics
arc length of ellipse
pendulum motion
gptkbp:cannotBeExpressedAs elementary functions
gptkbp:category special functions
gptkbp:citation gptkb:Abramowitz_and_Stegun
gptkb:Handbook_of_Mathematical_Functions
gptkb:Digital_Library_of_Mathematical_Functions
gptkb:Gradshteyn_and_Ryzhik
gptkbp:field gptkb:mathematics
gptkbp:generalizes elementary integrals
gptkbp:hasSubfield analysis
gptkbp:hasType complete elliptic integral
elliptic integral of the first kind
elliptic integral of the second kind
elliptic integral of the third kind
incomplete elliptic integral
https://www.w3.org/2000/01/rdf-schema#label Elliptic integrals
gptkbp:inverseFunction elliptic functions
gptkbp:notation E(φ, k)
F(φ, k)
Π(n; φ, k)
gptkbp:parameter amplitude φ
characteristic n
modulus k
gptkbp:relatedTo gptkb:Carlson_symmetric_form
gptkb:Legendre_form
Jacobi elliptic functions
elliptic functions
modular forms
theta functions
modulus
amplitude
hypergeometric functions
gptkbp:studiedBy gptkb:Carl_Gustav_Jacobi
gptkb:Niels_Henrik_Abel
gptkb:Adrien-Marie_Legendre
gptkbp:usedIn gptkb:astronomy
engineering
mechanics
physics
gptkbp:bfsParent gptkb:Adrien-Marie_Legendre
gptkbp:bfsLayer 6