Package org.drip.sample.gammaincomplete

Estimates of Incomplete Gamma Functions

Author:

Lakshmi Krishnamurthy

Class Summary

Class	Description
EulerIntegralSumConstraint	EulerIntegralSumConstraint illustrates the Constraint that the Lower and Upper Gamma Functions must add up to the Parent.
LowerEulerIntegralEstimate	LowerEulerIntegralEstimate illustrates the Estimation using the Euler's Second Kind Integral of the Lower Incomplete Gamma Function.
LowerGaussContinuedFraction	LowerGaussContinuedFraction illustrates the Estimation of the Lower Incomplete Gamma Function using the Gauss Continued Fraction.
LowerLimitPowerEstimate	LowerLimitPowerEstimate illustrates the Estimation of the Integral of the Product of the Limit Raised to an Exponent and the corresponding Lower Incomplete Gamma Function.
LowerNIST2019Estimate	LowerNIST2019Estimate illustrates the Estimation of the Lower Incomplete Gamma Function using the NIST (2019) Series.
LowerRegularizedEstimate	LowerRegularizedEstimate illustrates the Estimation of the Regularized Lower Incomplete Gamma Function using several Techniques.
LowerSHalfEstimate	LowerSHalfEstimate illustrates the Estimation of the Lower Incomplete Gamma Function using the NIST (2019) Series for s = 0.5.
LowerSOneEstimate	LowerSOneEstimate illustrates the Estimation of the Lower Incomplete Gamma Function using the Weisstein Series for the Special Case of s=1, where the Closed Form is the Exponential Decay Function.
LowerWeierstrassLimitEstimate	LowerWeierstrassLimitEstimate illustrates the Estimation of the Lower Incomplete Gamma Function using the Weierstrass Limit Series.
LowerZInfinityAsymptote	LowerZInfinityAsymptote illustrates the Asymptotic Behavior of the Lower Incomplete Gamma Function in the Neighborhood of z = Infinity using the Weierstrass Limit Series.
LowerZZeroAsymptote	LowerZZeroAsymptote illustrates the Asymptotic Behavior of the Lower Incomplete Gamma Function in the Neighborhood of z = 0 using the Weierstrass Limit Series.
UpperAbramowitzStegun	UpperAbramowitzStegun illustrates the Estimation of the Upper Incomplete Gamma Function using the Abramowitz-Stegun (2007) Version of Gauss Continued Fraction.
UpperEulerIntegralEstimate	UpperEulerIntegralEstimate illustrates the Estimation using the Euler's Second Kind Integral of the Upper Incomplete Gamma Function.
UpperGaussContinuedFraction	UpperGaussContinuedFraction illustrates the Estimation of the Upper Incomplete Gamma Function using the Gauss Continued Fraction.
UpperLimitPowerEstimate	UpperLimitPowerEstimate illustrates the Estimation of the Integral of the Product of the Limit Raised to an Exponent and the corresponding Upper Incomplete Gamma Function.
UpperRegularizedEstimate	UpperRegularizedEstimate illustrates the Estimation of the Regularized Upper Incomplete Gamma Function using several Techniques.
UpperSHalfEstimate	UpperSHalfEstimate illustrates the Estimation of the Upper Incomplete Gamma Function using the NIST (2019) Series for s = 0.5.
UpperSOneEstimate	UpperSOneEstimate illustrates the Estimation of the Upper Incomplete Gamma Function using the Weisstein Series for the Special Case of s=1, where the Closed Form is the Exponential Decay Function.
UpperSRecurrenceEstimate	UpperSRecurrenceEstimate illustrates the Recurrence-Based Estimation of the Upper Incomplete Gamma Function using the NIST (2019) Series.
UpperSZeroEstimate	UpperSZeroEstimate illustrates the Estimation of the Upper Incomplete Gamma Function using the NIST (2019) Series for s = 0.
UpperWeissteinEstimate	UpperWeissteinEstimate illustrates the Estimation of the Upper Incomplete Gamma Function using the Weisstein Series.
UpperZInfinityAsymptote	UpperZInfinityAsymptote illustrates the Asymptotic Behavior of the Upper Incomplete Gamma Function in the Neighborhood of z = Infinity using the Weierstrass Limit Series.