Package org.drip.specialfunction.hankel

Class BigH1FromBigJ

java.lang.Object

org.drip.specialfunction.definition.HankelFirstKindEstimator

org.drip.specialfunction.hankel.BigH1FromBigJ

All Implemented Interfaces:

R2ToZ1

public class BigH1FromBigJ
extends HankelFirstKindEstimator

BigH1FromBigJ implements the Estimator for the Cylindrical Hankel Function of the First Kind from the Bessel 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:

• BigH1FromBigJ Constructor
• Retrieve the Estimator of the Bessel Function of the First 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
BigH1FromBigJ(BesselFirstKindEstimator besselFirstKindEstimator)	BigH1FromBigJ Constructor

Method Summary

Modifier and Type	Method	Description
BesselFirstKindEstimator	besselFirstKindEstimator()	Retrieve the Estimator of the Bessel Function of the First Kind
CartesianComplexNumber	bigH1(double alpha, double z)	Evaluate Hankel Function First Kind H1 given Alpha and z

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

evaluate, LargeZAsymptote

Methods inherited from class java.lang.Object

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

Constructor Details

BigH1FromBigJ

public BigH1FromBigJ(BesselFirstKindEstimator besselFirstKindEstimator)
              throws java.lang.Exception

BigH1FromBigJ Constructor

Parameters:

besselFirstKindEstimator - Bessel Function of the First Kind Estimator

Throws:

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

Method Details

besselFirstKindEstimator

public BesselFirstKindEstimator besselFirstKindEstimator()

Retrieve the Estimator of the Bessel Function of the First Kind

Returns:

Estimator of the Bessel Function of the First Kind

bigH1

public CartesianComplexNumber bigH1(double alpha,
double z)

Description copied from class: HankelFirstKindEstimator

Evaluate Hankel Function First Kind H1 given Alpha and z

Specified by:

bigH1 in class HankelFirstKindEstimator

Parameters:

alpha - Alpha

z - Z

Returns:

Hankel Function First Kind H1 Value