Package org.drip.specialfunction.derived

Class EllipticEIntegral

java.lang.Object
org.drip.function.definition.R1ToR1
org.drip.specialfunction.definition.HypergeometricEstimator
org.drip.specialfunction.definition.EllipticEIntegralEstimator
org.drip.specialfunction.derived.EllipticEIntegral
public class EllipticEIntegral
extends EllipticEIntegralEstimator
EllipticEIntegral implements the Elliptic E Integral Function from the 2F1 Hyper-geometric Function. The References are:

  • Gessel, I., and D. Stanton (1982): Strange Evaluations of Hyper-geometric Series SIAM Journal on Mathematical Analysis 13 (2) 295-308
  • Koepf, W (1995): Algorithms for m-fold Hyper-geometric Summation Journal of Symbolic Computation 20 (4) 399-417
  • Lavoie, J. L., F. Grondin, and A. K. Rathie (1996): Generalization of Whipple’s Theorem on the Sum of a (_2^3)F(a,b;c;z) Journal of Computational and Applied Mathematics 72 293-300
  • National Institute of Standards and Technology (2019): Hyper-geometric Function https://dlmf.nist.gov/15
  • Wikipedia (2019): Hyper-geometric Function https://en.wikipedia.org/wiki/Hypergeometric_function
It provides the following functionality:
  • EllipticEIntegral Constructor
  • Retrieve the 2F1 Hyper-geometric Function Estimator

Module Product Core Module
Library Fixed Income Analytics
Project Special Function Implementation and Analysis
Package Special Functions Derived using Others
Author:
Lakshmi Krishnamurthy

  • Constructor Details

    • EllipticEIntegral

      public EllipticEIntegral​(R2ToR1 logBetaEstimator, int quadratureCount) throws java.lang.Exception
      EllipticEIntegral Constructor
      Parameters:
      logBetaEstimator - Log Beta Estimator
      quadratureCount - Quadrature Count
      Throws:
      java.lang.Exception - Thrown if the Inputs are Invalid

  • Method Details

    • regularHypergeometricEstimator

      public RegularHypergeometricEstimator regularHypergeometricEstimator()
      Retrieve the 2F1 Hyper-geometric Function Estimator
      Returns:
      The 2F1 Hyper-geometric Function Estimator

    • ellipticEIntegral

      public double ellipticEIntegral​(double k) throws java.lang.Exception
      Description copied from class: EllipticEIntegralEstimator
      Evaluate The Elliptic E Integral Function
      Specified by:
      ellipticEIntegral in class EllipticEIntegralEstimator
      Parameters:
      k - K
      Returns:
      The Elliptic E Integral Function Value
      Throws:
      java.lang.Exception - Thrown if the Inputs are Invalid