java.lang.Object

org.drip.specialfunction.digamma.IntegralEstimator

public class IntegralEstimator
extends java.lang.Object

IntegralEstimator demonstrates the Estimation of the Digamma Function using the Integral Representations. The References are:

Abramowitz, M., and I. A. Stegun (2007): Handbook of Mathematics Functions Dover Book on Mathematics
Blagouchine, I. V. (2018): Three Notes on Ser's and Hasse's Representations for the Zeta-Functions https://arxiv.org/abs/1606.02044 arXiv
Mezo, I., and M. E. Hoffman (2017): Zeros of the Digamma Function and its Barnes G-function Analogue Integral Transforms and Special Functions 28 (28) 846-858
Whitaker, E. T., and G. N. Watson (1996): A Course on Modern Analysis Cambridge University Press New York
Wikipedia (2019): Digamma Function https://en.wikipedia.org/wiki/Digamma_function

It provides the following functionality:

Module	Product Core Module
Library	Fixed Income Analytics
Project	Special Function Implementation and Analysis
Package	Estimation Techniques for Digamma Function

Method Summary

Modifier and Type	Method	Description
`static R1ToR1IntegrandEstimator`	`BinetSecond()`	Generate the Binet Second Integral Digamma Estimator
`static R1ToR1IntegrandEstimator`	`Dirichlet()`	Generate the Dirichlet Integral Digamma Estimator
`static R1ToR1IntegrandEstimator`	`Gauss()`	Generate the Gaussian Integral Digamma Estimator
`static R1ToR1IntegrandEstimator`	`GaussEulerMascheroni()`	Generate the Gauss-Euler-Mascheroni Integral Digamma Estimator

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

Class IntegralEstimator