Package org.drip.specialfunction.derived

Class RiemannZeta

java.lang.Object
org.drip.function.definition.R1ToR1
org.drip.specialfunction.derived.RiemannZeta
public class RiemannZeta
extends R1ToR1
RiemannZeta implements the Riemann Zeta 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:
  • Compute the Apery's Constant (i.e., Riemann Zeta at Value 3.)
  • RiemannZeta Constructor
  • Retrieve the Gamma Estimator

Module Product Core Module
Library Fixed Income Analytics
Project Special Function Implementation and Analysis
Package Special Functions Derived using Others
Author:
Lakshmi Krishnamurthy

  • Constructor Details

    • RiemannZeta

      public RiemannZeta​(DerivativeControl derivativeControl, R1ToR1 gammaEstimator) throws java.lang.Exception
      RiemannZeta Constructor
      Parameters:
      derivativeControl - The Derivative Control
      gammaEstimator - The Gamma Estimator
      Throws:
      java.lang.Exception - Thrown if the Inputs are Invalid

  • Method Details

    • AperyConstant

      public static final double AperyConstant()
      Compute the Apery's Constant (i.e., Riemann Zeta at Value 3.)
      Returns:
      Apery's Constant

    • gammaEstimator

      public R1ToR1 gammaEstimator()
      Retrieve the Gamma Estimator
      Returns:
      The Gamma Estimator

    • evaluate

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