Package org.drip.specialfunction.generator

Class BesselFirstKindLaurentExpansion

java.lang.Object

org.drip.specialfunction.generator.SeriesExpansion

org.drip.specialfunction.generator.BesselFirstKindLaurentExpansion

All Implemented Interfaces:

R2ToR1

public class BesselFirstKindLaurentExpansion
extends SeriesExpansion

BesselFirstKindLaurentExpansion implements the Laurent-Series Generating Function and the Expansion Terms for the Cylindrical 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:

• BesselFirstKindLaurentExpansion Constructor
• Retrieve the Bessel First Kind Function Estimator
• Generate the Default Series

Module	Computational Core Module
Library	Function Analysis Library
Project	Special Function Implementation and Analysis
Package	Special Function Series Term Generators

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor	Description
BesselFirstKindLaurentExpansion(BesselFirstKindEstimator besselFirstKindEstimator)	BesselFirstKindLaurentExpansion Constructor

Method Summary

Modifier and Type	Method	Description
BesselFirstKindEstimator	besselFirstKindEstimator()	Retrieve the Bessel First Kind Function Estimator
double	evaluate(double z, double t)	Evaluate for the given variate Pair
R2ToR1Series	series()	Generate the Default Series
R2ToR1SeriesTerm	seriesTerm()	Generate the Special Function Series Expansion Term

Methods inherited from class org.drip.specialfunction.generator.SeriesExpansion

series

Methods inherited from class java.lang.Object

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

Constructor Details

BesselFirstKindLaurentExpansion

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

BesselFirstKindLaurentExpansion Constructor

Parameters:

besselFirstKindEstimator - Bessel Function First Kind Estimator

Throws:

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

Method Details

besselFirstKindEstimator

public BesselFirstKindEstimator besselFirstKindEstimator()

Retrieve the Bessel First Kind Function Estimator

Returns:

The Bessel First Kind Function Estimator

evaluate

public double evaluate(double z,
double t)
                throws java.lang.Exception

Description copied from interface: R2ToR1

Evaluate for the given variate Pair

Parameters:

z - X

t - Y

Returns:

Returns the calculated value

Throws:

java.lang.Exception - Thrown if evaluation cannot be done

seriesTerm

public R2ToR1SeriesTerm seriesTerm()

Description copied from class: SeriesExpansion

Generate the Special Function Series Expansion Term

Specified by:

seriesTerm in class SeriesExpansion

Returns:

The Special Function Series Expansion Term

series

public R2ToR1Series series()

Generate the Default Series

Returns:

The Default Series