Package org.drip.numerical.estimation

Class R2ToR1SeriesTerm

java.lang.Object

org.drip.numerical.estimation.R2ToR1SeriesTerm

Direct Known Subclasses:

FirstFrobeniusSeriesTerm, HankelAsymptoteSeriesTerm, ModifiedFirstFrobeniusSeriesTerm, SecondNISTSeriesTerm

public abstract class R2ToR1SeriesTerm
extends java.lang.Object

R2ToR1SeriesTerm exposes the R² To R¹ Series Expansion Term in the Ordered Series of the Numerical Estimate for a Function. 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

• Module = Computational Core Module
• Library = Numerical Analysis Library
• Project = Numerical Quadrature, Differentiation, Eigenization, Linear Algebra, and Utilities
• Package = Function Numerical Estimates/Corrections/Bounds

Author:

Lakshmi Krishnamurthy

Method Summary

Modifier and Type	Method	Description
abstract double	value(int order, double x, double y)	Compute the Value of the R2 To R1 Series Expansion Term

Methods inherited from class java.lang.Object

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

Method Details

value

public abstract double value(int order,
double x,
double y)
                      throws java.lang.Exception

Compute the Value of the R² To R¹ Series Expansion Term

Parameters:

order - Order of the R² To R¹ Series Expansion Term

x - X

y - Y

Returns:

The Value of the R² To R¹ Series Expansion Term

Throws:

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