Package org.drip.specialfunction.hankel

Class ZitaFromBigH2

java.lang.Object

org.drip.specialfunction.definition.RiccatiBesselZitaEstimator

org.drip.specialfunction.hankel.ZitaFromBigH2

All Implemented Interfaces:

R2ToZ1

public class ZitaFromBigH2
extends RiccatiBesselZitaEstimator

ZitaFromBigH2 implements the Estimator for the Riccati-Bessel Zita Function using the 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:

• ZitaFromBigH2 Constructor
• Retrieve the 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
ZitaFromBigH2(HankelSecondKindEstimator hankelSecondKindEstimator)	ZitaFromBigH2 Constructor

Method Summary

Modifier and Type	Method	Description
HankelSecondKindEstimator	hankelSecondKindEstimator()	Retrieve the Hankel Second Kind Estimator
C1Cartesian	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

ZitaFromBigH2

public ZitaFromBigH2(HankelSecondKindEstimator hankelSecondKindEstimator)
              throws java.lang.Exception

ZitaFromBigH2 Constructor

Parameters:

hankelSecondKindEstimator - Hankel Second Kind Estimator

Throws:

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

Method Details

hankelSecondKindEstimator

public HankelSecondKindEstimator hankelSecondKindEstimator()

Retrieve the Hankel Second Kind Estimator

Returns:

The Hankel Second Kind Estimator

zita

public C1Cartesian 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