Package org.drip.function.e2erf

Class AbramowitzStegunSeriesGenerator

java.lang.Object
org.drip.function.definition.R1ToR1
org.drip.numerical.estimation.RkToR1Series
org.drip.numerical.estimation.R1ToR1Series
org.drip.function.e2erf.AbramowitzStegunSeriesGenerator
public class AbramowitzStegunSeriesGenerator
extends R1ToR1Series
AbramowitzStegunSeriesGenerator implements the E2 erf Abramowitz-Stegun Variant of Series Term Generator. The References are:

  • Abramowitz, M., and I. A. Stegun (2007): Handbook of Mathematics Functions Dover Book on Mathematics
  • Chang, S. H., P. C. Cosman, L. B. Milstein (2011): Chernoff-Type Bounds for Gaussian Error Function IEEE Transactions on Communications 59 (11) 2939-2944
  • Cody, W. J. (1991): Algorithm 715: SPECFUN – A Portable FORTRAN Package of Special Function Routines and Test Drivers ACM Transactions on Mathematical Software 19 (1) 22-32
  • Schopf, H. M., and P. H. Supancic (2014): On Burmann’s Theorem and its Application to Problems of Linear and Non-linear Heat Transfer and Diffusion https://www.mathematica-journal.com/2014/11/on-burmanns-theorem-and-its-application-to-problems-of-linear-and-nonlinear-heat-transfer-and-diffusion/#more-39602/
  • Wikipedia (2019): Error Function https://en.wikipedia.org/wiki/Error_function


Author:
Lakshmi Krishnamurthy

  • Constructor Details

    • AbramowitzStegunSeriesGenerator

      public AbramowitzStegunSeriesGenerator​(R1ToR1SeriesTerm r1ToR1SeriesTerm, java.util.TreeMap<java.lang.Integer,​java.lang.Double> termWeightMap) throws java.lang.Exception
      AbramowitzStegunSeriesGenerator Constructor
      Parameters:
      r1ToR1SeriesTerm - R1 To R1 Series Expansion Term
      termWeightMap - Error Term Weight Map
      Throws:
      java.lang.Exception - Thrown if the Inputs are Invalid

  • Method Details

    • InversePolynomial4

      public static final AbramowitzStegunSeriesGenerator InversePolynomial4()
      Construct a Inverse Polynomial Degree 4 Version of E2 erf AbramowitzStegunSeriesGenerator
      Returns:
      Inverse Polynomial Degree 4 Version of E2 erf AbramowitzStegunSeriesGenerator

    • MixedPolynomial3

      public static final AbramowitzStegunSeriesGenerator MixedPolynomial3()
      Construct a Mixed Polynomial Degree 3 Version of E2 erf AbramowitzStegunSeriesGenerator
      Returns:
      Mixed Polynomial Degree 3 Version of E2 erf AbramowitzStegunSeriesGenerator

    • InversePolynomial6

      public static final AbramowitzStegunSeriesGenerator InversePolynomial6()
      Construct a Inverse Polynomial Degree 6 Version of E2 erf AbramowitzStegunSeriesGenerator
      Returns:
      Inverse Polynomial Degree 6 Version of E2 erf AbramowitzStegunSeriesGenerator

    • MixedPolynomial5

      public static final AbramowitzStegunSeriesGenerator MixedPolynomial5()
      Construct a Mixed Polynomial Degree 5 Version of E2 erf AbramowitzStegunSeriesGenerator
      Returns:
      Mixed Polynomial Degree 5 Version of E2 erf AbramowitzStegunSeriesGenerator

    • NumericalRecipe2007

      public static final AbramowitzStegunSeriesGenerator NumericalRecipe2007()
      Construct the Numerical Recipes Version of E2 erf AbramowitzStegunSeriesGenerator
      Returns:
      Numerical Recipes Version of E2 erf AbramowitzStegunSeriesGenerator