java.lang.Object

org.drip.specialfunction.loggamma.StirlingSeriesEstimator

public class StirlingSeriesEstimator
extends R1ToR1Estimator

StirlingSeriesEstimator implements the Stirling's Series Approximation of the Gamma Function. The References are:

Mortici, C. (2011): Improved Asymptotic Formulas for the Gamma Function Computers and Mathematics with Applications 61 (11) 3364-3369
National Institute of Standards and Technology (2018): NIST Digital Library of Mathematical Functions https://dlmf.nist.gov/5.11
Nemes, G. (2010): On the Coefficients of the Asymptotic Expansion of n! https://arxiv.org/abs/1003.2907 arXiv
Toth V. T. (2016): Programmable Calculators – The Gamma Function http://www.rskey.org/CMS/index.php/the-library/11
Wikipedia (2019): Stirling's Approximation https://en.wikipedia.org/wiki/Stirling%27s_approximation

It provides the following functionality:

StirlingSeriesEstimator Constructor
Compute the Log de-Moivre Term
Compute the Bounded Function Estimates along with the Higher Order Nemes Correction

Module	Computational Core Module
Library	Function Analysis Library
Project	Special Function Implementation and Analysis
Package	Analytic/Series/Integral Log Gamma Estimators

Method Summary

Modifier and Type	Method	Description
`double`	`evaluate(double x)`	Evaluate for the given variate
`double`	`logDeMoivreTerm(double x)`	Compute the Log de-Moivre Term
`R1Estimate`	`nemesCorrectionEstimate(double x)`	Compute the Bounded Function Estimates along with the Higher Order Nemes Correction

boundedEstimate, seriesEstimate, seriesEstimateNative

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

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

Class StirlingSeriesEstimator