Package org.drip.specialfunction.ode
Class SecondOrderRiccatiBessel
java.lang.Object
org.drip.specialfunction.ode.SecondOrder
org.drip.specialfunction.ode.SecondOrderRiccatiBessel
public class SecondOrderRiccatiBessel extends SecondOrder
SecondOrderRiccatiBessel exposes the Coefficient Terms in the Riccati-Bessel 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 6th Edition Harcourt San Diego
- Temme N. M. (1996): Special Functions: An Introduction to the Classical Functions of Mathematical Physics 2nd 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
- Construct the Standard Second Order Riccati-Bessel ODE
- Retrieve the Alpha
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 double
alpha()
Retrieve the Alphajava.util.TreeSet<java.lang.Double>
orderedRegularSingularPoints()
Retrieve the Ordered Regular Singular Points of the Second Order ODEstatic SecondOrderRiccatiBessel
Standard(double alpha)
Construct the Standard Second Order Riccati-Bessel ODEMethods inherited from class org.drip.specialfunction.ode.SecondOrder
firstDerivativeCoefficient, secondDerivativeCoefficient, zeroDerivativeCoefficient
Methods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
-
Method Details
-
Standard
Construct the Standard Second Order Riccati-Bessel ODE- Parameters:
alpha
- Alpha- Returns:
- The Standard Second Order Riccati-Bessel ODE
-
alpha
public double alpha()Retrieve the Alpha- Returns:
- Alpha
-
orderedRegularSingularPoints
public java.util.TreeSet<java.lang.Double> orderedRegularSingularPoints()Description copied from class:SecondOrder
Retrieve the Ordered Regular Singular Points of the Second Order ODE- Overrides:
orderedRegularSingularPoints
in classSecondOrder
- Returns:
- The Ordered Regular Singular Points of the Second Order ODE
-