java.lang.Object

org.drip.specialfunction.bessel.FirstFrobeniusSeriesEstimator

public class FirstFrobeniusSeriesEstimator
extends BesselFirstKindEstimator

FirstFrobeniusSeriesEstimator implements the Frobenius Series Estimator 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:

Module	Product Core Module
Library	Fixed Income Analytics
Project	Special Function Implementation and Analysis
Package	Ordered Bessel Function Variant Estimators

Method Summary

Modifier and Type	Method	Description
`double`	`bigJ(double alpha, double z)`	Evaluate Bessel Function First Kind J given Alpha and z
`R2ToR1Series`	`frobeniusSeries()`	Retrieve the Frobenius Series
`static FirstFrobeniusSeriesEstimator`	`Standard(R1ToR1 gammaEstimator, int termCount)`	Construct a Standard Instance of Bessel FirstFrobeniusSeriesEstimator

AlphaNegativeIntegerAsymptote, AlphaPositiveIntegerOrZeroAsymptote, AlphaZeroApproximate, AlphaZeroNegativeZAsymptote, evaluate, HighZAsymptote

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

Class FirstFrobeniusSeriesEstimator