Package org.drip.sample.gamma

Class LogarithmicConvexProperty

java.lang.Object
org.drip.sample.gamma.LogarithmicConvexProperty
public class LogarithmicConvexProperty
extends java.lang.Object
LogarithmicConvexProperty demonstrates the Verification of the Logarithmic Convex Property of the Gamma Function. The References are:

  • Blagouchine, I. V. (2014): Re-discovery of Malmsten's Integrals, their Evaluation by Contour Integration Methods, and some Related Results Ramanujan Journal 35 (1) 21-110
  • Borwein, J. M., and R. M. Corless (2017): Gamma Function and the Factorial in the Monthly https://arxiv.org/abs/1703.05349 arXiv
  • Davis, P. J. (1959): Leonhard Euler's Integral: A Historical Profile of the Gamma Function American Mathematical Monthly 66 (10) 849-869
  • Whitaker, E. T., and G. N. Watson (1996): A Course on Modern Analysis Cambridge University Press New York
  • Wikipedia (2019): Gamma Function https://en.wikipedia.org/wiki/Gamma_function


Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    LogarithmicConvexProperty()  

  • 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

    • LogarithmicConvexProperty

      public LogarithmicConvexProperty()

  • 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