Package org.drip.specialfunction.digamma

Class BinetFirstIntegral

java.lang.Object
org.drip.function.definition.R1ToR1
org.drip.specialfunction.digamma.BinetFirstIntegral
public class BinetFirstIntegral
extends R1ToR1
BinetFirstIntegral demonstrates the Estimation of the Digamma Function using the Binet's First Integral. The References are:

  • Abramowitz, M., and I. A. Stegun (2007): Handbook of Mathematics Functions Dover Book on Mathematics
  • Blagouchine, I. V. (2018): Three Notes on Ser's and Hasse's Representations for the Zeta-Functions https://arxiv.org/abs/1606.02044 arXiv
  • Mezo, I., and M. E. Hoffman (2017): Zeros of the Digamma Function and its Barnes G-function Analogue Integral Transforms and Special Functions 28 (28) 846-858
  • Whitaker, E. T., and G. N. Watson (1996): A Course on Modern Analysis Cambridge University Press New York
  • Wikipedia (2019): Digamma Function https://en.wikipedia.org/wiki/Digamma_function
It provides the following functionality:
    BinetFirstIntegral Constructor

Module Product Core Module
Library Fixed Income Analytics
Project Special Function Implementation and Analysis
Package Estimation Techniques for Digamma Function
Author:
Lakshmi Krishnamurthy

  • Constructor Details

    • BinetFirstIntegral

      public BinetFirstIntegral​(DerivativeControl derivativeControl)
      BinetFirstIntegral 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