Package org.drip.specialfunction.scaledexponential

Class RelaxationTimeDistributionSeries

java.lang.Object
org.drip.specialfunction.scaledexponential.RelaxationTimeDistributionSeries
public class RelaxationTimeDistributionSeries
extends java.lang.Object
RelaxationTimeDistributionSeries implements the Series Expansion of the Relaxation Time Distribution Function. The References are:

  • Gradshteyn, I. S., I. M. Ryzhik, Y. V. Geronimus, M. Y. Tseytlin, and A. Jeffrey (2015): Tables of Integrals, Series, and Products Academic Press
  • Hilfer, J. (2002): H-function Representations for Stretched Exponential Relaxation and non-Debye Susceptibilities in Glassy Systems Physical Review E 65 (6) 061510
  • Wikipedia (2019): Stretched Exponential Function https://en.wikipedia.org/wiki/Stretched_exponential_function
  • Wuttke, J. (2012): Laplace-Fourier Transform of the Stretched Exponential Function: Analytic Error-Bounds, Double Exponential Transform, and Open Source Implementation libkw Algorithm 5 (4) 604-628
  • Zorn, R. (2002): Logarithmic Moments of Relaxation Time Distributions Journal of Chemical Physics 116 (8) 3204-3209
It provides the following functionality:
  • Construct the R1 To R1 Bessel First Kind Frobenius Summation Series

Module Computational Core Module
Library Function Analysis Library
Project Special Function Implementation and Analysis
Package Scaled Exponential Function Implementation Distribution
Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    RelaxationTimeDistributionSeries()  

  • Method Summary

    Modifier and Type Method Description
    static R1ToR1Series Summation​(double beta, R1ToR1 gammaEstimator, int termCount)
    Construct the R1 To R1 Bessel First Kind Frobenius Summation Series

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • RelaxationTimeDistributionSeries

      public RelaxationTimeDistributionSeries()

  • Method Details

    • Summation

      public static final R1ToR1Series Summation​(double beta, R1ToR1 gammaEstimator, int termCount)
      Construct the R1 To R1 Bessel First Kind Frobenius Summation Series
      Parameters:
      beta - The beta
      gammaEstimator - The Gamma Estimator
      termCount - Count of the Number of Terms
      Returns:
      The R1 To R1 Bessel First Kind Frobenius Summation Series