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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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gptkb:Physics
gptkb:Celestial_mechanics
gptkb:Electromagnetism
gptkb:Elliptic_curve_cryptography
Engineering
Arc length of ellipse
Geodesics
Pendulum motion
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gptkbp:category
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Special functions
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gptkbp:citation
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gptkb:Abramowitz_and_Stegun
gptkb:Handbook_of_Mathematical_Functions
gptkb:Gradshteyn_and_Ryzhik
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gptkbp:field
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gptkb:Mathematics
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gptkbp:generalizes
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Elementary integrals
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gptkbp:hasFeature
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gptkb:Complete_elliptic_integral_of_the_first_kind
gptkb:Complete_elliptic_integral_of_the_second_kind
gptkb:Complete_elliptic_integral_of_the_third_kind
gptkb:Incomplete_elliptic_integral_of_the_first_kind
gptkb:Incomplete_elliptic_integral_of_the_second_kind
gptkb:Incomplete_elliptic_integral_of_the_third_kind
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gptkbp:hasSubfield
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gptkb:Calculus
Analysis
Complex analysis
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gptkbp:historicalContributor
|
gptkb:Carl_Gustav_Jacobi
gptkb:Niels_Henrik_Abel
gptkb:Adrien-Marie_Legendre
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https://www.w3.org/2000/01/rdf-schema#label
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Elliptic Integrals
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gptkbp:inverseFunction
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Elliptic functions
|
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gptkbp:namedAfter
|
Ellipse
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gptkbp:notation
|
E(k)
K(k)
Π(n,k)
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gptkbp:property
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Analytic continuation possible
Multivalued
Not expressible in terms of elementary functions
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gptkbp:relatedTo
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gptkb:Legendre_polynomials
Jacobi elliptic functions
Elliptic functions
|
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gptkbp:seeAlso
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gptkb:Riemann_surfaces
gptkb:Modular_forms
gptkb:Abelian_integrals
Elliptic curves
Theta functions
Hypergeometric functions
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gptkbp:bfsParent
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gptkb:Elliptic_Functions
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gptkbp:bfsLayer
|
7
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