gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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electrostatics
geodesics
magnetostatics
arc length of ellipse
pendulum motion
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gptkbp:cannotBeExpressedAs
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elementary functions
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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:Digital_Library_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:hasSubfield
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analysis
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gptkbp:hasType
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complete elliptic integral
elliptic integral of the first kind
elliptic integral of the second kind
elliptic integral of the third kind
incomplete elliptic integral
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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:notation
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E(φ, k)
F(φ, k)
Π(n; φ, k)
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gptkbp:parameter
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amplitude φ
characteristic n
modulus k
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gptkbp:relatedTo
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gptkb:Carlson_symmetric_form
gptkb:Legendre_form
Jacobi elliptic functions
elliptic functions
modular forms
theta functions
modulus
amplitude
hypergeometric functions
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gptkbp:studiedBy
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gptkb:Carl_Gustav_Jacobi
gptkb:Niels_Henrik_Abel
gptkb:Adrien-Marie_Legendre
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gptkbp:usedIn
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gptkb:astronomy
engineering
mechanics
physics
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gptkbp:bfsParent
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gptkb:Adrien-Marie_Legendre
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gptkbp:bfsLayer
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6
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