Package org.drip.sample.gamma

Estimates of the Gamma Functions

Author:

Lakshmi Krishnamurthy

Class Summary

Class	Description
BigPiMultiplicationProperty	BigPiMultiplicationProperty demonstrates the Verification of the Multiplication Property of the Big Pi Function.
BigPiReflectionProperty	BigPiReflectionProperty demonstrates the Verification of the Reflection Property of the Big Pi Function.
ComparativeEstimate	ComparativeEstimate demonstrates the Comparisons across several Estimation Techniques of the Gamma Function.
DuplicationProperty	DuplicationProperty demonstrates the Verification of the Duplication Property of the Gamma Function.
ExponentialConvexProperty	ExponentialConvexProperty demonstrates the Verification of the Exponential Convex Property of the Gamma Function.
FirstDerivativeEstimate	FirstDerivativeEstimate demonstrates the Estimation of the First Derivative of the Gamma Function.
FourierBlagouchineSeriesEstimate	FourierBlagouchineSeriesEstimate demonstrates the Estimate of the Log Gamma Function using the Malmsten-Blagouchine as well as the Blagouchine (2015) Variants of the Fourier Series Expansion.
GautschiConvexProperty	GautschiConvexProperty demonstrates the Verification of the Gautschi Double-Bound Convex Property of the Gamma Function.
HigherDerivativeEstimate	HigherDerivativeEstimate demonstrates the Estimation of the Higher Order Derivatives of the Gamma Function.
JensenConvexProperty	JensenConvexProperty demonstrates the Verification of the Jensen Multi-Point Interpolant Convex Property of the Gamma Function.
LogarithmicConvexProperty	LogarithmicConvexProperty demonstrates the Verification of the Logarithmic Convex Property of the Gamma Function.
MultiplicationProperty	MultiplicationProperty demonstrates the Verification of the Multiplication Property of the Gamma Function.
PowerSourceExponentialDecayEstimate	PowerSourceExponentialDecayEstimate demonstrates the Estimation of the Power Source Exponential Decay Function.
ReflectionProperty	ReflectionProperty demonstrates the Verification of the Reflection Property of the Gamma Function.
RiemannZetaAnalyticContinuity	RiemannZetaAnalyticContinuity demonstrates the Analytic Continuity Property of the Riemann Zeta Function.
RiemannZetaEstimate	RiemannZetaEstimate demonstrates the Quadrature Estimate of the Riemann Zeta Function Based.
SpacedPointConvexProperty	SpacedPointConvexProperty demonstrates the Verification of the Spaced Point Convex Property of the Gamma Function.
StretchedExponentialMomentEstimate	StretchedExponentialMomentEstimate demonstrates the Estimation of the Moments of the Stretched Exponential Function.
UpperAsymptoteProperty	UpperAsymptoteProperty demonstrates the Verification of the Upper Asymptote Property of the Gamma Function.