java.lang.Object

org.drip.specialfunction.derived.LogSmallPi

public class LogSmallPi
extends R1ToR1

LogSmallPi implements the Log Small Pi Function - the Reciprocal of the Log Big Pi Function. The References are:

Blagouchine, I. V. (2014): Re-discovery of Malmsten's Integrals, their Evaluation by Contour Integration Methods, and some Related Results Ramanujan Journal 35 (1) 21-110
Borwein, J. M., and R. M. Corless (2017): Gamma Function and the Factorial in the Monthly https://arxiv.org/abs/1703.05349 arXiv
Davis, P. J. (1959): Leonhard Euler's Integral: A Historical Profile of the Gamma Function American Mathematical Monthly 66 (10) 849-869
Whitaker, E. T., and G. N. Watson (1996): A Course on Modern Analysis Cambridge University Press New York
Wikipedia (2019): Gamma Function https://en.wikipedia.org/wiki/Gamma_function

It provides the following functionality:

Module	Product Core Module
Library	Fixed Income Analytics
Project	Special Function Implementation and Analysis
Package	Special Functions Derived using Others

Method Summary

Modifier and Type	Method	Description
`double`	`evaluate(double z)`	Evaluate for the given variate
`R1ToR1`	`logBigPiEstimator()`	Retrieve the Log Big Pi Estimator
`static LogSmallPi`	`Weierstrass(int termCount)`	Generate the Weierstrass Infinite Sum Series Version of Log Small Pi Estimator

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

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

Class LogSmallPi