Package org.drip.function.e2erfc

Class AsymptoticExpansion

java.lang.Object
org.drip.function.e2erfc.AsymptoticExpansion
public class AsymptoticExpansion
extends java.lang.Object
AsymptoticExpansion implements the Term and the Generator in the Asymptotic Expansion of Error Function Complement (erfc). 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 Summary

    Constructors
    Constructor Description
    AsymptoticExpansion()  

  • Method Summary

    Modifier and Type Method Description
    static R1ToR1Series SeriesGenerator​(int termCount)
    Construct the Asymptotic Version of Error Function Complement Series Generator
    static R1ToR1SeriesTerm SeriesTerm()
    Construct the Asymptotic Version of Error Function Complement Series Term

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • AsymptoticExpansion

      public AsymptoticExpansion()

  • Method Details

    • SeriesTerm

      public static final R1ToR1SeriesTerm SeriesTerm()
      Construct the Asymptotic Version of Error Function Complement Series Term
      Returns:
      The Asymptotic Version of Error Function Complement Series Term

    • SeriesGenerator

      public static final R1ToR1Series SeriesGenerator​(int termCount)
      Construct the Asymptotic Version of Error Function Complement Series Generator
      Parameters:
      termCount - Count of the Number of Terms
      Returns:
      The Asymptotic Version of Error Function Complement Series Generator