Package org.drip.specialfunction.ode

Class RegularSingularityIndependentSolution2F1

java.lang.Object
org.drip.specialfunction.ode.RegularSingularityIndependentSolution2F1
public class RegularSingularityIndependentSolution2F1
extends java.lang.Object
RegularSingularityIndependentSolution2F1 holds the Array of Linearly Independent Solutions to the 2F1 Hyper-geometric Equation at the Singularities {0, 1, and INF}. 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:
  • Generate the 2F1 Instance of RegularSingularityIndependentSolution

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

  • Constructor Details

    • RegularSingularityIndependentSolution2F1

      public RegularSingularityIndependentSolution2F1()

  • Method Details

    • Create

      public static final RegularSingularityIndependentSolution Create​(RegularHypergeometricEstimator regularHypergeometricEstimator)
      Generate the 2F1 Instance of RegularSingularityIndependentSolution
      Parameters:
      regularHypergeometricEstimator - 2F1 Regular Hyper-geometric Estimator
      Returns:
      The 2F1 Instance of RegularSingularityIndependentSolution