Package org.drip.specialfunction.ode
Class SecondOrderModifiedBessel
java.lang.Object
org.drip.specialfunction.ode.SecondOrder
org.drip.specialfunction.ode.SecondOrderModifiedBessel
public class SecondOrderModifiedBessel extends SecondOrder
SecondOrderModifiedBessel exposes the Coefficient Terms in the Modified 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 Modified 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 doublealpha()Retrieve the Alphajava.util.TreeSet<java.lang.Double>orderedRegularSingularPoints()Retrieve the Ordered Regular Singular Points of the Second Order ODEstatic SecondOrderModifiedBesselStandard(double alpha)Construct the Standard Second Order Modified Bessel ODEMethods inherited from class org.drip.specialfunction.ode.SecondOrder
firstDerivativeCoefficient, secondDerivativeCoefficient, zeroDerivativeCoefficientMethods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
-
Method Details
-
Standard
Construct the Standard Second Order Modified Bessel ODE- Parameters:
alpha- Alpha- Returns:
- The Standard Second Order Modified Bessel ODE
-
alpha
public double alpha()Retrieve the Alpha- Returns:
- Alpha
-
orderedRegularSingularPoints
public java.util.TreeSet<java.lang.Double> orderedRegularSingularPoints()Description copied from class:SecondOrderRetrieve the Ordered Regular Singular Points of the Second Order ODE- Overrides:
orderedRegularSingularPointsin classSecondOrder- Returns:
- The Ordered Regular Singular Points of the Second Order ODE
-