Package org.drip.specialfunction.loggamma

Class BinetIntegralFirstKindEstimator

java.lang.Object
org.drip.function.definition.R1ToR1
org.drip.specialfunction.loggamma.BinetIntegralFirstKindEstimator
public class BinetIntegralFirstKindEstimator
extends R1ToR1
BinetIntegralFirstKindEstimator implements the Binet's Integral Estimator of the First Kind for the Log 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
It provides the following functionality:
  • BinetIntegralFirstKindEstimator Constructor

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

  • Constructor Details

    • BinetIntegralFirstKindEstimator

      public BinetIntegralFirstKindEstimator​(DerivativeControl derivativeControl)
      BinetIntegralFirstKindEstimator Constructor
      Parameters:
      derivativeControl - The Derivative Control

  • Method Details

    • evaluate

      public double evaluate​(double z) throws java.lang.Exception
      Description copied from class: R1ToR1
      Evaluate for the given variate
      Specified by:
      evaluate in class R1ToR1
      Parameters:
      z - Variate
      Returns:
      Returns the calculated value
      Throws:
      java.lang.Exception - Thrown if evaluation cannot be done