Package org.drip.sample.gammaincomplete

Class UpperGaussContinuedFraction

java.lang.Object
org.drip.sample.gammaincomplete.UpperGaussContinuedFraction
public class UpperGaussContinuedFraction
extends java.lang.Object
UpperGaussContinuedFraction illustrates the Estimation of the Upper Incomplete Gamma Function using the Gauss Continued Fraction. The References are:

  • Geddes, K. O., M. L. Glasser, R. A. Moore, and T. C. Scott (1990): Evaluation of Classes of Definite Integrals involving Elementary Functions via Differentiation of Special Functions Applicable Algebra in Engineering, Communications, and 1 (2) 149-165
  • Gradshteyn, I. S., I. M. Ryzhik, Y. V. Geronimus, M. Y. Tseytlin, and A. Jeffrey (2015): Tables of Integrals, Series, and Products Academic Press
  • Mathar, R. J. (2010): Numerical Evaluation of the Oscillatory Integral over eiÏ€x x(1/x) between 1 and ∞ https://arxiv.org/pdf/0912.3844.pdf arXiV
  • National Institute of Standards and Technology (2019a): Incomplete Gamma and Related Functions https://dlmf.nist.gov/8
  • Wikipedia (2019): Incomplete Gamma Function https://en.wikipedia.org/wiki/Incomplete_gamma_function


Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    UpperGaussContinuedFraction()  

  • 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

    • UpperGaussContinuedFraction

      public UpperGaussContinuedFraction()

  • 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