Package org.drip.specialfunction.hypergeometric

Class GaussContiguousRelations

java.lang.Object

org.drip.specialfunction.hypergeometric.GaussContiguousRelations

public class GaussContiguousRelations
extends java.lang.Object

GaussContiguousRelations holds the Gauss Contiguous 2F1 Relations of the Regular Hyper-geometric Function. 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:

• GaussContiguousRelations Constructor
• Retrieve the a+ Gauss Contiguous Function
• Retrieve the a- Gauss Contiguous Function
• Retrieve the b+ Gauss Contiguous Function
• Retrieve the b- Gauss Contiguous Function
• Retrieve the c+ Gauss Contiguous Function
• Retrieve the c- Gauss Contiguous Function
• Retrieve the a+b+c+ Gauss Contiguous Function

Module	Computational Core Module
Library	Function Analysis Library
Project	Special Function Implementation and Analysis
Package	Hyper-geometric Function Estimation Schemes

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor	Description
GaussContiguousRelations(RegularHypergeometricEstimator regularHypergeometricEstimator)	GaussContiguousRelations Constructor

Method Summary

Modifier and Type	Method	Description
RegularHypergeometricEstimator	aMinus()	Retrieve the a- Gauss Contiguous Function
RegularHypergeometricEstimator	aPlus()	Retrieve the a+ Gauss Contiguous Function
RegularHypergeometricEstimator	aPlusBPlusCPlus()	Retrieve the a+b+c+ Gauss Contiguous Function
RegularHypergeometricEstimator	bMinus()	Retrieve the b- Gauss Contiguous Function
RegularHypergeometricEstimator	bPlus()	Retrieve the b+ Gauss Contiguous Function
RegularHypergeometricEstimator	cMinus()	Retrieve the c- Gauss Contiguous Function
RegularHypergeometricEstimator	cPlus()	Retrieve the c+ Gauss Contiguous Function

Methods inherited from class java.lang.Object

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

Constructor Details

GaussContiguousRelations

public GaussContiguousRelations(RegularHypergeometricEstimator regularHypergeometricEstimator)
                         throws java.lang.Exception

GaussContiguousRelations Constructor

Parameters:

regularHypergeometricEstimator - The Regular Hyper-geometric Estimator

Throws:

java.lang.Exception - Thrown if the Inputs are Invalid

Method Details

aPlus

public RegularHypergeometricEstimator aPlus()

Retrieve the a+ Gauss Contiguous Function

Returns:

The a+ Gauss Contiguous Function

aMinus

public RegularHypergeometricEstimator aMinus()

Retrieve the a- Gauss Contiguous Function

Returns:

The a- Gauss Contiguous Function

bPlus

public RegularHypergeometricEstimator bPlus()

Retrieve the b+ Gauss Contiguous Function

Returns:

The b+ Gauss Contiguous Function

bMinus

public RegularHypergeometricEstimator bMinus()

Retrieve the b- Gauss Contiguous Function

Returns:

The b- Gauss Contiguous Function

cPlus

public RegularHypergeometricEstimator cPlus()

Retrieve the c+ Gauss Contiguous Function

Returns:

The c+ Gauss Contiguous Function

cMinus

public RegularHypergeometricEstimator cMinus()

Retrieve the c- Gauss Contiguous Function

Returns:

The c- Gauss Contiguous Function

aPlusBPlusCPlus

public RegularHypergeometricEstimator aPlusBPlusCPlus()

Retrieve the a+b+c+ Gauss Contiguous Function

Returns:

The a+b+c+ Gauss Contiguous Function