Extreme Optimization™: Complexity made simple.

Math and Statistics
Libraries for .NET
  • Home
  • Features
    • Math Library
    • Vector and Matrix Library
    • Statistics Library
    • Performance
    • Usability
  • Documentation
    • Introduction
    • Math Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Reference
  • Resources
    • Downloads
    • QuickStart Samples
    • Sample Applications
    • Frequently Asked Questions
    • Technical Support
  • Blog
  • Order
  • Company
    • About us
    • Testimonials
    • Customers
    • Press Releases
    • Careers
    • Partners
    • Contact us
Introduction
Deployment Guide
Configuration
Using Parallelism
Expand Mathematics Library User's GuideMathematics Library User's Guide
Expand Vector and Matrix Library User's GuideVector and Matrix Library User's Guide
Expand Data Analysis Library User's GuideData Analysis Library User's Guide
Expand Statistics Library User's GuideStatistics Library User's Guide
Expand Data Access Library User's GuideData Access Library User's Guide
Expand ReferenceReference
  • Extreme Optimization
    • Features
    • Solutions
    • Documentation
    • QuickStart Samples
    • Sample Applications
    • Downloads
    • Technical Support
    • Download trial
    • How to buy
    • Blog
    • Company
    • Resources
  • Documentation
    • Introduction
    • Deployment Guide
    • Configuration
    • Using Parallelism
    • Mathematics Library User's Guide
    • Vector and Matrix Library User's Guide
    • Data Analysis Library User's Guide
    • Statistics Library User's Guide
    • Data Access Library User's Guide
    • Reference
  • Reference
    • Extreme
    • Extreme.Collections
    • Extreme.Data
    • Extreme.Data.Json
    • Extreme.Data.Matlab
    • Extreme.Data.R
    • Extreme.Data.Stata
    • Extreme.Data.Text
    • Extreme.DataAnalysis
    • Extreme.DataAnalysis.Linq
    • Extreme.Mathematics
    • Extreme.Mathematics.Algorithms
    • Extreme.Mathematics.Calculus
    • Extreme.Mathematics.Calculus.OrdinaryDifferentialEquations
    • Extreme.Mathematics.Curves
    • Extreme.Mathematics.Curves.Nonlinear
    • Extreme.Mathematics.Distributed
    • Extreme.Mathematics.Distributed.Cuda
    • Extreme.Mathematics.EquationSolvers
    • Extreme.Mathematics.FSharp
    • Extreme.Mathematics.Generic
    • Extreme.Mathematics.Generic.LinearAlgebra
    • Extreme.Mathematics.Generic.LinearAlgebra.Implementation
    • Extreme.Mathematics.Generic.LinearAlgebra.Providers
    • Extreme.Mathematics.Generic.SignalProcessing
    • Extreme.Mathematics.Implementation
    • Extreme.Mathematics.LinearAlgebra
    • Extreme.Mathematics.LinearAlgebra.Complex
    • Extreme.Mathematics.LinearAlgebra.Complex.Decompositions
    • Extreme.Mathematics.LinearAlgebra.Implementation
    • Extreme.Mathematics.LinearAlgebra.IO
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers
    • Extreme.Mathematics.LinearAlgebra.IterativeSolvers.Preconditioners
    • Extreme.Mathematics.LinearAlgebra.Providers
    • Extreme.Mathematics.LinearAlgebra.Sparse
    • Extreme.Mathematics.Optimization
    • Extreme.Mathematics.Optimization.Genetic
    • Extreme.Mathematics.Optimization.LineSearches
    • Extreme.Mathematics.Random
    • Extreme.Mathematics.SignalProcessing
    • Extreme.Numerics.FSharp
    • Extreme.Statistics
    • Extreme.Statistics.Distributions
    • Extreme.Statistics.IO
    • Extreme.Statistics.Linq
    • Extreme.Statistics.Multivariate
    • Extreme.Statistics.Random
    • Extreme.Statistics.Tests
    • Extreme.Statistics.TimeSeriesAnalysis
  • Extreme.Mathematics
    • AccuracyGoal Structure
    • AlgorithmStatus Enumeration
    • ArrayAttributes Structure
    • ArrayMath Class
    • ArrayMutability Enumeration
    • BigFloat Class
    • BigInteger Structure
    • BigRational Structure
    • CategoricalVector(T) Class
    • Complex(T) Structure
    • ComplexMatrix Class
    • ComplexVector Class
    • Constants Class
    • ConvergenceCriterion Enumeration
    • CoreImplementations Class
    • CoreImplementations(T) Class
    • CoreProvider Class
    • CoreProvider(T) Class
    • DecimalMath Class
    • Dimension Enumeration
    • DimensionMismatchException Class
    • DimensionType Enumeration
    • DistributedDataLocation Enumeration
    • DoubleComparer Class
    • DoubleComplex Structure
    • Elementary Class
    • ElementType(T) Class
    • EquationSolving Class
    • FunctionMath Class
    • GenericCoreProvider(T) Class
    • GenericImplementations Class
    • ICategoricalVector Interface
    • IDistributed Interface
    • InsufficientDataException Class
    • IntegerMath Class
    • Intent Enumeration
    • Interval Structure
    • Interval(T) Structure
    • IPermutable Interface
    • ISummarizable Interface
    • Iterators Class
    • IVector Interface
    • MachineConstants Class
    • ManagedCoreProvider Class
    • ManagedCoreProviderOfSingle Class
    • Math(T) Class
    • Matrix Class
    • Matrix(T) Class
    • MatrixDiagonal Enumeration
    • MatrixElementOrder Enumeration
    • MatrixExtensions Class
    • MatrixNorm Enumeration
    • MatrixOperationSide Enumeration
    • MatrixStructure Enumeration
    • MatrixTriangle Enumeration
    • MutabilityBehaviour Enumeration
    • NumericalDifferentiation Class
    • NumericalIntegration Class
    • NumericsConfiguration Class
    • Operations(T) Class
    • Permutation Class
    • Quad Structure
    • RandomExtensions Class
    • Range Structure
    • RoundingMode Enumeration
    • SingleComparer Class
    • SingleComplex Structure
    • SingleComplexMatrix Class
    • SingleComplexVector Class
    • SingleConstants Class
    • SingleInterval Structure
    • SingleMatrix Class
    • SingleMatrixFiller Delegate
    • SinglePrecisionImplementations Class
    • SingleVector Class
    • SingleVectorFiller Delegate
    • Slice Structure
    • SolutionReport(T) Class
    • SolutionReport(T, TError) Class
    • Special Class
    • SummaryOptions Class
    • SymbolicMath Class
    • TotalLossOfPrecisionException Class
    • TransposeOperation Enumeration
    • TypedVectorWrapper(K, T) Structure
    • Vector Class
    • Vector(T) Class
    • VectorExtensions Class
  • Special Class
    • Methods
    • Fields
  • Methods
    • AiryAi Method
    • AiryAiPrime Method
    • AiryAiZero Method
    • AiryBi Method
    • AiryBiPrime Method
    • AiryBiZero Method
    • BernoulliB Method
    • BesselI Method
    • BesselI0 Method
    • BesselI0Scaled Method
    • BesselI1 Method
    • BesselI1Scaled Method
    • BesselIScaled Method
    • BesselJ Method Overloads
    • BesselJ0 Method
    • BesselJ1 Method
    • BesselJZero Method
    • BesselK Method Overloads
    • BesselK0 Method
    • BesselK0Scaled Method
    • BesselK1 Method
    • BesselK1Scaled Method
    • BesselKScaled Method
    • BesselY Method Overloads
    • BesselY0 Method
    • BesselY1 Method
    • BesselYZero Method
    • Beta Method
    • BinomialCoefficients Method
    • ChebyshevT Method Overloads
    • ChebyshevTSequence Method Overloads
    • ChebyshevTSeries Method Overloads
    • ChebyshevU Method
    • ChebyshevUSequence Method Overloads
    • ChebyshevUSeries Method Overloads
    • Combinations Method
    • CosineIntegral Method
    • Dawson Method Overloads
    • Dawson2 Method
    • Digamma Method Overloads
    • E1 Method
    • EllipticE Method Overloads
    • EllipticF Method Overloads
    • EllipticK Method Overloads
    • EllipticPi Method Overloads
    • Erf Method Overloads
    • Erfc Method Overloads
    • Erfcx Method Overloads
    • Erfi Method Overloads
    • ExponentialIntegral Method
    • Factorial Method
    • Faddeeva Method Overloads
    • Fibonacci Method
    • Fresnel Method
    • FresnelC Method
    • FresnelS Method
    • Gamma Method Overloads
    • GegenbauerC Method
    • GegenbauerCSequence Method Overloads
    • GegenbauerCSeries Method Overloads
    • GetSymbolicDerivative Method
    • HarmonicNumber Method
    • HermiteH Method
    • HermiteHSequence Method Overloads
    • HermiteHSeries Method Overloads
    • Hypergeometric0F1 Method
    • Hypergeometric1F1 Method
    • Hypergeometric2F1 Method
    • HypergeometricU Method Overloads
    • IncompleteBeta Method Overloads
    • IncompleteGamma Method Overloads
    • InverseErf Method
    • InverseErfc Method
    • InverseRegularizedBeta Method
    • InverseRegularizedGammaP Method
    • InverseRegularizedGammaQ Method
    • Jacobi Method
    • JacobiCD Method
    • JacobiCN Method
    • JacobiCS Method
    • JacobiDC Method
    • JacobiDN Method
    • JacobiDS Method
    • JacobiNC Method
    • JacobiND Method
    • JacobiNS Method
    • JacobiSC Method
    • JacobiSD Method
    • JacobiSN Method
    • LaguerreL Method Overloads
    • LaguerreLSequence Method Overloads
    • LaguerreLSeries Method Overloads
    • LegendreP Method
    • LegendrePSequence Method Overloads
    • LegendrePSeries Method Overloads
    • LogarithmicIntegral Method
    • LogBeta Method
    • LogCombinations Method
    • LogFactorial Method
    • LogGamma Method Overloads
    • MultinomialCoefficient Method
    • Pochhammer Method
    • PolyGamma Method
    • RegularizedBeta Method Overloads
    • RegularizedGammaP Method
    • RegularizedGammaQ Method
    • SineIntegral Method
    • SphericalBesselJ Method
    • SphericalBesselY Method
    • TaylorCoefficient Method
    • Variations Method
    • Voigt Method
    • ZernikeNormalization Method
    • ZernikeR Method
    • ZernikeRPartialSequence Method
    • ZernikeRSequence Method Overloads
    • ZernikeZ Method
    • ZernikeZExpansion Method Overloads
    • ZernikeZPartialSequence Method Overloads
    • ZernikeZSequence Method Overloads
    • Zeta Method
  • EllipticPi Method Overloads
    • EllipticPi Method (Double, Double)
    • EllipticPi Method (Complex(Double), Complex(Double))
    • EllipticPi Method (Double, Double, Double)
    • EllipticPi Method (Complex(Double), Complex(Double), Complex(Double))
  • EllipticPi Method (Complex(Double), Complex(Double))
SpecialEllipticPi Method (ComplexDouble, ComplexDouble)Extreme Optimization Numerical Libraries for .NET Professional
Returns the value of the complete elliptic integral of the third kind.

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
Syntax
C#
VB
C++
F#
Copy
public static Complex<double> EllipticPi(
	Complex<double> n,
	Complex<double> k
)
Public Shared Function EllipticPi ( 
	n As Complex(Of Double),
	k As Complex(Of Double)
) As Complex(Of Double)
public:
static Complex<double> EllipticPi(
	Complex<double> n, 
	Complex<double> k
)
static member EllipticPi : 
        n : Complex<float> * 
        k : Complex<float> -> Complex<float>

Parameters

n
Type: Extreme.MathematicsComplexDouble
The characteristic.
k
Type: Extreme.MathematicsComplexDouble
The modulus.

Return Value

Type: ComplexDouble
Version Information

Numerical Libraries

Supported in: 6.0
See Also

Reference

Special Class
EllipticPi Overload
Extreme.Mathematics Namespace

Copyright (c) 2004-2016 ExoAnalytics Inc.

Send comments on this topic to support@extremeoptimization.com

Copyright © 2004-20116, Extreme Optimization. All rights reserved.
Extreme Optimization, Complexity made simple, M#, and M Sharp are trademarks of ExoAnalytics Inc.
Microsoft, Visual C#, Visual Basic, Visual Studio, Visual Studio.NET, and the Optimized for Visual Studio logo
are registered trademarks of Microsoft Corporation.