Package org.drip.specialfunction.ode

Class RegularSingularityIndependentSolution

java.lang.Object
org.drip.specialfunction.ode.RegularSingularityIndependentSolution
public class RegularSingularityIndependentSolution
extends java.lang.Object
RegularSingularityIndependentSolution holds the Array of Linearly Independent Solutions at the specified Regular Singularity. The References are:

  • Gessel, I., and D. Stanton (1982): Strange Evaluations of Hyper-geometric Series SIAM Journal on Mathematical Analysis 13 (2) 295-308
  • Koepf, W (1995): Algorithms for m-fold Hyper-geometric Summation Journal of Symbolic Computation 20 (4) 399-417
  • Lavoie, J. L., F. Grondin, and A. K. Rathie (1996): Generalization of Whipple’s Theorem on the Sum of a (_2^3)F(a,b;c;z) Journal of Computational and Applied Mathematics 72 293-300
  • National Institute of Standards and Technology (2019): Hyper-geometric Function https://dlmf.nist.gov/15
  • Wikipedia (2019): Hyper-geometric Function https://en.wikipedia.org/wiki/Hypergeometric_function
It provides the following functionality:
  • Empty RegularSingularityIndependentSolution Constructor
  • Add a Solution Function corresponding to the Regular Singularity
  • Add an Independent Linear Solution List
  • Retrieve the Map of Regular Singularity Independent Solution List

Module Computational Core Module
Library Function Analysis Library
Project Special Function Implementation and Analysis
Package Special Function Ordinary Differential Equations
Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    RegularSingularityIndependentSolution()
    Empty RegularSingularityIndependentSolution Constructor

  • Method Summary

    Modifier and Type Method Description
    boolean add​(double regularSingularity, R1ToR1 solutionFunction)
    Add an Independent Linear Solution List
    boolean add​(double regularSingularity, IndependentLinearSolutionList independentLinearSolutionList)
    Add a Solution Function corresponding to the Regular Singularity
    java.util.Map<java.lang.Double,​IndependentLinearSolutionList> linearSolutionFunctionMap()
    Retrieve the Map of Regular Singularity Independent Solution List

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • RegularSingularityIndependentSolution

      public RegularSingularityIndependentSolution()
      Empty RegularSingularityIndependentSolution Constructor

  • Method Details

    • add

      public boolean add​(double regularSingularity, IndependentLinearSolutionList independentLinearSolutionList)
      Add a Solution Function corresponding to the Regular Singularity
      Parameters:
      regularSingularity - The Regular Singularity
      independentLinearSolutionList - The Independent Linear Solution List
      Returns:
      TRUE - The Independent Linear Solution List successfully added

    • add

      public boolean add​(double regularSingularity, R1ToR1 solutionFunction)
      Add an Independent Linear Solution List
      Parameters:
      regularSingularity - The Regular Singularity
      solutionFunction - The Solution Function
      Returns:
      TRUE - The Independent Linear Solution List successfully added

    • linearSolutionFunctionMap

      public java.util.Map<java.lang.Double,​IndependentLinearSolutionList> linearSolutionFunctionMap()
      Retrieve the Map of Regular Singularity Independent Solution List
      Returns:
      The Map of Regular Singularity Independent Solution List