Package org.drip.sample.digamma

Estimates of the Digamma Functions

Author:

Lakshmi Krishnamurthy

Class Summary

Class	Description
AbramowitzStegunEstimate	AbramowitzStegunEstimate demonstrates the Cumulative Series Based Digamma Estimation.
AlzerDifferenceProperty	AlzerDifferenceProperty demonstrates the Alzer (1997) Difference Property Lemma for Digamma Functions where s is in (0, 1).
AlzerJamesonProperty	AlzerJamesonProperty demonstrates the Alzer Jameson (2017) Property Lemma for Digamma Functions.
AsymptoteBoundProperty	AsymptoteBoundProperty demonstrates the Estimation of the Asymptote Bounds of the Digamma Function using the Asymptotic Bounds.
AsymptoticEstimate	AsymptoticEstimate demonstrates the Estimation of the Digamma Function using the Asymptotic Series.
BernsteinBinetBoundProperty	BernsteinBinetBoundProperty demonstrates the Estimation of the Bernstein-Binet Bounds of the Digamma Function.
BinetFirstIntegralEstimate	BinetFirstIntegralEstimate demonstrates the Estimation of the Digamma Function using the Binet First Integral.
BinetSecondIntegralEstimate	BinetSecondIntegralEstimate demonstrates the Estimation of the Digamma Function using the Binet Second Integral.
BlagouchineSummationProperty1	BlagouchineSummationProperty1 demonstrates the Blagouchine (2014) Property Lemma for Digamma Functions.
BlagouchineSummationProperty10	BlagouchineSummationProperty10 demonstrates the Blagouchine (2014) Property Lemma for Digamma Functions.
BlagouchineSummationProperty2	BlagouchineSummationProperty2 demonstrates the Blagouchine (2014) Property Lemma for Digamma Functions.
BlagouchineSummationProperty3	BlagouchineSummationProperty3 demonstrates the Blagouchine (2014) Property Lemma for Digamma Functions.
BlagouchineSummationProperty4	BlagouchineSummationProperty4 demonstrates the Blagouchine (2014) Property Lemma for Digamma Functions.
BlagouchineSummationProperty5	BlagouchineSummationProperty5 demonstrates the Blagouchine (2014) Property Lemma for Digamma Functions.
BlagouchineSummationProperty6	BlagouchineSummationProperty6 demonstrates the Blagouchine (2014) Property Lemma for Digamma Functions.
BlagouchineSummationProperty7	BlagouchineSummationProperty7 demonstrates the Blagouchine (2014) Property Lemma for Digamma Functions.
BlagouchineSummationProperty8	BlagouchineSummationProperty8 demonstrates the Blagouchine (2014) Property Lemma for Digamma Functions.
BlagouchineSummationProperty9	BlagouchineSummationProperty9 demonstrates the Blagouchine (2014) Property Lemma for Digamma Functions.
CubicReciprocalSumProperty	CubicReciprocalSumProperty demonstrates the Cubic Sum Property of the Digamma Saddle Points.
DirichletIntegralEstimate	DirichletIntegralEstimate demonstrates the Estimation of the Digamma Function using the Dirichlet Integral.
ElezovicGiordanoPecaricBoundProperty	ElezovicGiordanoPecaricBoundProperty demonstrates the Estimation of the Elezevic-Giordano-Pecaric Bounds of the Digamma Function.
ExponentialAsymptoteHalfShiftedEstimate	ExponentialAsymptoteHalfShiftedEstimate demonstrates the Estimation of the Digamma Function using the Exponential Asymptote Half-Shifted Series.
ExponentialAsymptoticEstimate	ExponentialAsymptoticEstimate demonstrates the Estimation of the Digamma Function using the Exponential Asymptotic Series.
GaussIntegralEstimate	GaussIntegralEstimate demonstrates the Estimation of the Digamma Function using the Gauss Integral.
GaussIntegralEulerMascheroniEstimate	GaussIntegralEulerMascheroniEstimate demonstrates the Estimation of the Digamma Function using the Gauss Euler-Mascheroni Integral.
HalfIntegerEstimate	HalfIntegerEstimate demonstrates the Estimation of the Digamma Function for Half Integers.
HarmonicEstimate	HarmonicEstimate demonstrates the Cumulative Series Digamma Estimate Based on the Harmonic Function.
QuadraticPolynomialReciprocalSumProperty1	QuadraticPolynomialReciprocalSumProperty1 demonstrates the First Quadratic Polynomial Sum Property of the Digamma Saddle Points.
QuadraticPolynomialReciprocalSumProperty2	QuadraticPolynomialReciprocalSumProperty2 demonstrates the Second Quadratic Polynomial Sum Property of the Digamma Saddle Points.
QuadraticReciprocalSumProperty	QuadraticReciprocalSumProperty demonstrates the Quadratic Sum Property of the Digamma Saddle Points.
QuarticReciprocalSumProperty	QuarticReciprocalSumProperty demonstrates the Quartic Sum Property of the Digamma Saddle Points.
ReflectionProperty	ReflectionProperty demonstrates the Reflection Property Lemma for Digamma Functions in (0, 1).
SaddlePointEstimate	SaddlePointEstimate demonstrates the Estimation of the Saddle Point of the Digamma Function.
TaylorRiemannZetaEstimate	TaylorRiemannZetaEstimate demonstrates the Estimation of the Digamma Function using the Taylor-Reimann Zeta Series.
UnitImaginaryEstimate	UnitImaginaryEstimate demonstrates the Estimation of the Digamma Function at the Unit Imaginary Location.
ZeroOneBoundProperty	ZeroOneBoundProperty demonstrates the Estimation of the (0, 1) Bounds of the Digamma Function using the (0, 1) Bounds.
ZeroToOneEstimate	ZeroToOneEstimate demonstrates the Estimation of the Digamma Function using the Mezo-Hoffman (2017) Series.