Package org.drip.specialfunction.gamma

Class Definitions

java.lang.Object
org.drip.specialfunction.gamma.Definitions
public class Definitions
extends java.lang.Object
Definitions contains all the Definitions and Constants relating to the Gamma Function Family. 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
It provides the following functionality:
  • The Euler-Mascheroni Constant
  • The Gamma Minimum Variate Ordinate
  • The Gamma Minimum Variate Value
  • Generate a Table of Built-in E2 erf/erfc Entries

Module Computational Core Module
Library Function Analysis Library
Project Special Function Implementation and Analysis
Package Analytic/Series/Integral Gamma Estimators
Author:
Lakshmi Krishnamurthy

  • Field Summary

    Fields
    Modifier and Type Field Description
    static double EULER_MASCHERONI
    The Euler-Mascheroni Constant
    static double MINIMUM_VALUE
    The Gamma Minimum Variate Value
    static double MINIMUM_VARIATE_LOCATION
    The Gamma Minimum Variate Ordinate

  • Constructor Summary

    Constructors
    Constructor Description
    Definitions()  

  • Method Summary

    Modifier and Type Method Description
    static java.util.Map<java.lang.Double,​java.lang.Double> Table()
    Generate a Table of Built-in E2 erf/erfc Entries

    Methods inherited from class java.lang.Object

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

  • Field Details

    • EULER_MASCHERONI

      public static final double EULER_MASCHERONI
      The Euler-Mascheroni Constant
      See Also:
      Constant Field Values

    • MINIMUM_VARIATE_LOCATION

      public static final double MINIMUM_VARIATE_LOCATION
      The Gamma Minimum Variate Ordinate
      See Also:
      Constant Field Values

    • MINIMUM_VALUE

      public static final double MINIMUM_VALUE
      The Gamma Minimum Variate Value
      See Also:
      Constant Field Values

  • Constructor Details

    • Definitions

      public Definitions()

  • Method Details

    • Table

      public static final java.util.Map<java.lang.Double,​java.lang.Double> Table()
      Generate a Table of Built-in E2 erf/erfc Entries
      Returns:
      The Table of Built-in E2 erf/erfc Entries