Package org.drip.sample.hypergeometric

Class GaussSecondSummationProperty

java.lang.Object
org.drip.sample.hypergeometric.GaussSecondSummationProperty
public class GaussSecondSummationProperty
extends java.lang.Object
GaussSecondSummationProperty verifies the Gauss Second Summation Identity Property Lemma for z = +0.5. 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


Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    GaussSecondSummationProperty()  

  • Method Summary

    Modifier and Type Method Description
    static void main​(java.lang.String[] argumentArray)
    Entry Point

    Methods inherited from class java.lang.Object

    equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • GaussSecondSummationProperty

      public GaussSecondSummationProperty()

  • Method Details

    • main

      public static final void main​(java.lang.String[] argumentArray) throws java.lang.Exception
      Entry Point
      Parameters:
      argumentArray - Command Line Argument Array
      Throws:
      java.lang.Exception - Thrown on Error/Exception Situation