Package org.drip.specialfunction.lanczos

Class ASeriesGenerator

java.lang.Object

org.drip.function.definition.R1ToR1

org.drip.numerical.estimation.RkToR1Series

org.drip.numerical.estimation.R1ToR1Series

org.drip.specialfunction.lanczos.ASeriesGenerator

public class ASeriesGenerator
extends R1ToR1Series

ASeriesGenerator generates the Terms of the Lanczos A Series. The References are:

• Godfrey, P. (2001): Lanczos Implementation of the Gamma Function http://www.numericana.com/answer/info/godfrey.htm
• Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery (2007): Numerical Recipes: The Art of Scientific Computing 3rd Edition Cambridge University Press New York
• Pugh, G. R. (2004): An Analysis of the Lanczos Gamma Approximation Ph. D. University of British Columbia
• Toth V. T. (2016): Programmable Calculators – The Gamma Function http://www.rskey.org/CMS/index.php/the-library/11
• Wikipedia (2019): Lanczos Approximation https://en.wikipedia.org/wiki/Lanczos_approximation

It provides the following functionality:

• Construct the Standard ASeriesGenerator Instance
• ASeriesGenerator Constructor
• Retrieve the P Series Generator

Module	Computational Core Module
Library	Function Analysis Library
Project	Special Function Implementation and Analysis
Package	Lanczos Scheme for Gamma Estimate

Author:

Lakshmi Krishnamurthy

Constructor Summary

Constructors

Constructor	Description
ASeriesGenerator(ASeriesTerm aSeriesTerm, PSeriesGenerator pSeriesGenerator)	ASeriesGenerator Constructor

Method Summary

Modifier and Type	Method	Description
PSeriesGenerator	pSeriesGenerator()	Retrieve the P Series Generator
static ASeriesGenerator	Standard(int g, int termCount)	Construct the Standard ASeriesGenerator Instance

Methods inherited from class org.drip.numerical.estimation.R1ToR1Series

cumulative, derivative, evaluate, generate, r1ToR1SeriesTerm

Methods inherited from class org.drip.numerical.estimation.RkToR1Series

proportional, termWeightMap

Methods inherited from class org.drip.function.definition.R1ToR1

antiDerivative, conditionNumber, differential, differential, integrate, maxima, maxima, minima, minima, poleResidue

Methods inherited from class java.lang.Object

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

Constructor Details

ASeriesGenerator

public ASeriesGenerator(ASeriesTerm aSeriesTerm,
PSeriesGenerator pSeriesGenerator)
                 throws java.lang.Exception

ASeriesGenerator Constructor

Parameters:

aSeriesTerm - A Series Term

pSeriesGenerator - P Series Generator

Throws:

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

Method Details

Standard

public static final ASeriesGenerator Standard(int g,
int termCount)

Construct the Standard ASeriesGenerator Instance

Parameters:

g - Lanczos g Control

termCount - Term Count

Returns:

Standard ASeriesGenerator Instance

pSeriesGenerator

public PSeriesGenerator pSeriesGenerator()

Retrieve the P Series Generator

Returns:

The P Series Generator