Package org.drip.specialfunction.hankel

Class ZitaFromSmallH2

java.lang.Object

org.drip.specialfunction.definition.RiccatiBesselZitaEstimator

org.drip.specialfunction.hankel.ZitaFromSmallH2

All Implemented Interfaces:

R2ToZ1

public class ZitaFromSmallH2
extends RiccatiBesselZitaEstimator

ZitaFromSmallH2 implements the Estimator for the Riccati-Bessel Zita Function using the Spherical Hankel Function of the Second Kind. 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:

• ZitaFromSmallH2 Constructor
• Retrieve the Spherical Hankel Second Kind Estimator

Module	Computational Core Module
Library	Function Analysis Library
Project	Special Function Implementation and Analysis
Package	Ordered Hankel Function Variant Estimators

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor	Description
ZitaFromSmallH2(SphericalHankelSecondKindEstimator sphericalHankelSecondKindEstimator)	ZitaFromSmallH2 Constructor

Method Summary

Modifier and Type	Method	Description
SphericalHankelSecondKindEstimator	sphericalHankelSecondKindEstimator()	Retrieve the Spherical Hankel Second Kind Estimator
CartesianComplexNumber	zita(double alpha, double z)	Evaluate Riccati-Bessel Zita Estimate given Alpha and z

Methods inherited from class org.drip.specialfunction.definition.RiccatiBesselZitaEstimator

evaluate

Methods inherited from class java.lang.Object

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

Constructor Details

ZitaFromSmallH2

public ZitaFromSmallH2(SphericalHankelSecondKindEstimator sphericalHankelSecondKindEstimator)
                throws java.lang.Exception

ZitaFromSmallH2 Constructor

Parameters:

sphericalHankelSecondKindEstimator - Spherical Hankel Second Kind Estimator

Throws:

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

Method Details

sphericalHankelSecondKindEstimator

public SphericalHankelSecondKindEstimator sphericalHankelSecondKindEstimator()

Retrieve the Spherical Hankel Second Kind Estimator

Returns:

The Spherical Hankel Second Kind Estimator

zita

public CartesianComplexNumber zita(double alpha,
double z)

Description copied from class: RiccatiBesselZitaEstimator

Evaluate Riccati-Bessel Zita Estimate given Alpha and z

Specified by:

zita in class RiccatiBesselZitaEstimator

Parameters:

alpha - Alpha

z - Z

Returns:

Riccati-Bessel Zita Estimate