Package org.drip.specialfunction.ode

Class HilleQForm2F1

java.lang.Object

org.drip.specialfunction.ode.SecondOrder

org.drip.specialfunction.ode.HilleQForm2F1

public class HilleQForm2F1
extends SecondOrder

HilleQForm2F1 exposes the Coefficient Terms on the Q-form 2F1 Hyper-geometric ODE. 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:

• Construct the Hille Q-Form of 2F1 ODE
• Retrieve the Q Form Function
• Retrieve the v Function

Module	Computational Core Module
Library	Function Analysis Library
Project	Special Function Implementation and Analysis
Package	Special Function Ordinary Differential Equations

Author:

Lakshmi Krishnamurthy

Method Summary

Modifier and Type	Method	Description
R1ToR1	q()	Retrieve the Q Form Function
static HilleQForm2F1	Standard(double a, double b, double c)	Construct the Hille Q-Form of 2F1 ODE
R1ToR1	v()	Retrieve the v Function

Methods inherited from class org.drip.specialfunction.ode.SecondOrder

firstDerivativeCoefficient, orderedRegularSingularPoints, secondDerivativeCoefficient, zeroDerivativeCoefficient

Methods inherited from class java.lang.Object

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

Method Details

Standard

public static final HilleQForm2F1 Standard(double a,
double b,
double c)

Construct the Hille Q-Form of 2F1 ODE

Parameters:

a - A

b - B

c - C

Returns:

Hille Q-Form of 2F1 ODE

q

public R1ToR1 q()

Retrieve the Q Form Function

Returns:

The Q Form Function

v

public R1ToR1 v()

Retrieve the v Function

Returns:

The v Function