Package org.drip.specialfunction.digamma

Class SpecialValues

java.lang.Object
org.drip.specialfunction.digamma.SpecialValues
public class SpecialValues
extends java.lang.Object
SpecialValues holds a specific Collection of Special Values of the Digamma Function. 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:
    Construct the Fractionals Map for Leading Digamma Fractions Construct the Unit Imaginary Digamma Complex Number

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

  • Constructor Summary

    Constructors
    Constructor Description
    SpecialValues()  

  • Method Summary

    Modifier and Type Method Description
    static java.util.Map<java.lang.Double,​java.lang.Double> Fractionals()
    Construct the Fractionals Map for Leading Digamma Fractions
    static CartesianComplexNumber UnitImaginary​(int termCount)
    Construct the Unit Imaginary Digamma Complex Number

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • SpecialValues

      public SpecialValues()

  • Method Details

    • Fractionals

      public static final java.util.Map<java.lang.Double,​java.lang.Double> Fractionals()
      Construct the Fractionals Map for Leading Digamma Fractions
      Returns:
      Fractionals Map for Leading Digamma Fractions

    • UnitImaginary

      public static final CartesianComplexNumber UnitImaginary​(int termCount)
      Construct the Unit Imaginary Digamma Complex Number
      Parameters:
      termCount - The Term Count
      Returns:
      Unit Imaginary Digamma Complex Number