Package org.drip.specialfunction.group

Class SchwarzChristoffelVertex

java.lang.Object
org.drip.specialfunction.group.SchwarzChristoffelVertex
public class SchwarzChristoffelVertex
extends java.lang.Object
SchwarzChristoffelVertex holds the Mobius Form of the s-Function and its Singularity Asymptote. 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:
  • SchwarzChristoffelVertex Constructor
  • Retrieve the Mobius Form of the s-Function
  • Retrieve the Singularity Asymptote of the s-Function
  • Retrieve the Circular Arc Angle of a Conformal s-Function

Module Computational Core Module
Library Function Analysis Library
Project Special Function Implementation and Analysis
Package Special Function Singularity Solution Group
Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    SchwarzChristoffelVertex​(R1ToR1 mobiusForm, R1ToR1 singularityAsymptote, double arcAngle)
    SchwarzChristoffelVertex Constructor

  • Method Summary

    Modifier and Type Method Description
    double arcAngle()
    Retrieve the Circular Arc Angle of a Conformal s-Function
    R1ToR1 mobiusForm()
    Retrieve the Mobius Form of the s-Function
    R1ToR1 singularityAsymptote()
    Retrieve the Singularity Asymptote of the s-Function

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • SchwarzChristoffelVertex

      public SchwarzChristoffelVertex​(R1ToR1 mobiusForm, R1ToR1 singularityAsymptote, double arcAngle) throws java.lang.Exception
      SchwarzChristoffelVertex Constructor
      Parameters:
      mobiusForm - Mobius Form of the s-Function
      singularityAsymptote - Singularity Asymptote of the s-Function
      arcAngle - Circular Arc Angle of a Conformal s-Function
      Throws:
      java.lang.Exception - Thrown if the Inputs are Invalid

  • Method Details

    • mobiusForm

      public R1ToR1 mobiusForm()
      Retrieve the Mobius Form of the s-Function
      Returns:
      Mobius Form of the s-Function

    • singularityAsymptote

      public R1ToR1 singularityAsymptote()
      Retrieve the Singularity Asymptote of the s-Function
      Returns:
      Singularity Asymptote of the s-Function

    • arcAngle

      public double arcAngle()
      Retrieve the Circular Arc Angle of a Conformal s-Function
      Returns:
      The Circular Arc Angle of a Conformal s-Function