Package org.drip.sample.gammaincomplete

Class LowerLimitPowerEstimate

java.lang.Object
org.drip.sample.gammaincomplete.LowerLimitPowerEstimate
public class LowerLimitPowerEstimate
extends java.lang.Object
LowerLimitPowerEstimate illustrates the Estimation of the Integral of the Product of the Limit Raised to an Exponent and the corresponding Lower Incomplete Gamma Function. 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
    LowerLimitPowerEstimate()  

  • 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

    • LowerLimitPowerEstimate

      public LowerLimitPowerEstimate()

  • 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