Package org.drip.specialfunction.hankel

Class SmallH1

java.lang.Object

org.drip.specialfunction.definition.SphericalHankelFirstKindEstimator

org.drip.specialfunction.hankel.SmallH1

All Implemented Interfaces:

R2ToZ1

public class SmallH1
extends SphericalHankelFirstKindEstimator

SmallH1 implements the Estimator for the Spherical Hankel Function of the First 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:

• SmallH1 Constructor
• Retrieve the Estimator of the Spherical Bessel Function of the First Kind
• Retrieve the Estimator of the Spherical Bessel Function of the Second Kind

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
SmallH1(SphericalBesselFirstKindEstimator sphericalBesselFirstKindEstimator, SphericalBesselSecondKindEstimator sphericalBesselSecondKindEstimator)	SmallH1 Constructor

Method Summary

Modifier and Type	Method	Description
CartesianComplexNumber	smallH1(double alpha, double z)	Evaluate Spherical Hankel Function First Kind h1 given Alpha and z
SphericalBesselFirstKindEstimator	sphericalBesselFirstKindEstimator()	Retrieve the Estimator of the Spherical Bessel Function of the First Kind
SphericalBesselSecondKindEstimator	sphericalBesselSecondKindEstimator()	Retrieve the Estimator of the Spherical Bessel Function of the Second Kind

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

evaluate

Methods inherited from class java.lang.Object

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

Constructor Details

SmallH1

public SmallH1(SphericalBesselFirstKindEstimator sphericalBesselFirstKindEstimator,
SphericalBesselSecondKindEstimator sphericalBesselSecondKindEstimator)
        throws java.lang.Exception

SmallH1 Constructor

Parameters:

sphericalBesselFirstKindEstimator - Spherical Bessel Function of the First Kind Estimator

sphericalBesselSecondKindEstimator - Spherical Bessel Function of the Second Kind Estimator

Throws:

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

Method Details

sphericalBesselFirstKindEstimator

public SphericalBesselFirstKindEstimator sphericalBesselFirstKindEstimator()

Retrieve the Estimator of the Spherical Bessel Function of the First Kind

Returns:

Estimator of the Spherical Bessel Function of the First Kind

sphericalBesselSecondKindEstimator

public SphericalBesselSecondKindEstimator sphericalBesselSecondKindEstimator()

Retrieve the Estimator of the Spherical Bessel Function of the Second Kind

Returns:

Estimator of the Spherical Bessel Function of the Second Kind

smallH1

public CartesianComplexNumber smallH1(double alpha,
double z)

Description copied from class: SphericalHankelFirstKindEstimator

Evaluate Spherical Hankel Function First Kind h1 given Alpha and z

Specified by:

smallH1 in class SphericalHankelFirstKindEstimator

Parameters:

alpha - Alpha

z - Z

Returns:

Spherical Hankel Function First Kind h1 Value