java.lang.Object

org.drip.specialfunction.ode.SecondOrderHelmholtz

public class SecondOrderHelmholtz
extends SecondOrder

SecondOrderHelmholtz exposes the Coefficient Terms in the Helmholtz ODE. The References are:

Abramowitz, M., and I. A. Stegun (2007): Handbook of Mathematics Functions Dover Book on Mathematics
Arfken, G. B., and H. J. Weber (2005): Mathematical Methods for Physicists 6^th Edition Harcourt San Diego
Temme N. M. (1996): Special Functions: An Introduction to the Classical Functions of Mathematical Physics 2^nd Edition Wiley New York
Watson, G. N. (1995): A Treatise on the Theory of Bessel Functions Cambridge University Press
Wikipedia (2019): Bessel Function https://en.wikipedia.org/wiki/Bessel_function

It provides the following functionality:

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

Method Summary

Modifier and Type	Method	Description
`double`	`alpha()`	Retrieve the Alpha
`java.util.TreeSet<java.lang.Double>`	`orderedRegularSingularPoints()`	Retrieve the Ordered Regular Singular Points of the Second Order ODE
`static SecondOrderHelmholtz`	`Standard(double alpha)`	Construct the Standard Second Order Helmholtz ODE

firstDerivativeCoefficient, secondDerivativeCoefficient, zeroDerivativeCoefficient

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

Class SecondOrderHelmholtz