Uses of Class
org.drip.function.definition.R1ToR1Property
| Package | Description |
|---|---|
| org.drip.specialfunction.property |
Special Function Property Lemma Verifiers
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Uses of R1ToR1Property in org.drip.specialfunction.property
Methods in org.drip.specialfunction.property that return R1ToR1Property Modifier and Type Method Description static R1ToR1PropertyDigammaInequalityLemma. AlzerDifference1997(double s)Generate the Alzer (1997) Digamma Difference Lemma Verifierstatic R1ToR1PropertyDigammaInequalityLemma. AlzerJameson2017()Generate the Alzer-Jameson (2017) Inequality Verifierstatic R1ToR1PropertyGammaInequalityLemma. AsymptoticUpperApproximate(double alpha)Construct the Asymptotic Upper Approximatestatic R1ToR1PropertyDigammaInequalityLemma. BernsteinBinetLeftBound()Generate the Bernstein-Binet Left Bound Inequality Verifierstatic R1ToR1PropertyDigammaInequalityLemma. BernsteinBinetRightBound()Generate the Bernstein-Binet Right Bound Inequality Verifierstatic R1ToR1PropertyDigammaSaddlePointEqualityLemma. CubicReciprocalSum(R1ToR1 digammaSaddlePointsFunction)Construct the Cubic Reciprocal Sum Verifierstatic R1ToR1PropertyGammaEqualityLemma. DuplicationFormula()Construct the Duplication Formula Verifierstatic R1ToR1PropertyDigammaInequalityLemma. ElezovicGiordanoPecaricLeftBound()Generate the Elezovic-Giordano-Pecaric Left Bound Inequality Verifierstatic R1ToR1PropertyDigammaInequalityLemma. ElezovicGiordanoPecaricRightBound()Generate the Elezovic-Giordano-Pecaric Right Bound Inequality Verifierstatic R1ToR1PropertyGammaInequalityLemma. ExponentiallyConvex(double z1, double z2)Generate the Exponentially Convex Inequality Verifierstatic R1ToR1PropertyHypergeometricEqualityLemma. FirstOrderDerivativeSpecialCase(double a, double b)Construct the First-Order Derivative Special Case Verifierstatic R1ToR1PropertyHypergeometricEqualityLemma. FirstOrderDerivativeSwitch(double a, double b)Construct the First-Order Derivative Switch Verifierstatic R1ToR1PropertyHypergeometricEqualityLemma. GaussContinuedFractionRecursive(double a, double b, double c)Construct the Gauss Continued Fraction Recursive Verifierstatic R1ToR1PropertyGammaInequalityLemma. GautschiLeft(double s)Generate the Gautschi Left Inequality Verifierstatic R1ToR1PropertyGammaInequalityLemma. GautschiRight(double s)Generate the Gautschi Right Inequality Verifierstatic R1ToR1PropertyHypergeometricEqualityLemma. GoursatCubicTransformation(double a)Construct the Goursat Cubic Transformation Verifierstatic R1ToR1PropertyHypergeometricEqualityLemma. GoursatQuadraticTransformation(double a, double b)Construct the Goursat Quadratic Transformation Verifierstatic R1ToR1PropertyBetaEqualityLemma. Identity5()Construct the Identity #5 Verifierstatic R1ToR1PropertyBetaEqualityLemma. Identity6()Construct the Identity #6 Verifierstatic R1ToR1PropertyHypergeometricEqualityLemma. IncompleteBeta(double p, double q)Construct the Incomplete Beta Verifierstatic R1ToR1PropertyHypergeometricEqualityLemma. InversePowerA(double a)Construct the Inverse Power A Special Case Verifierstatic R1ToR1PropertyHypergeometricEqualityLemma. InverseSine()Construct the Inverse Sine Special Case Verifierstatic R1ToR1PropertyDigammaInequalityLemma. LeftAsymptote()Generate the Digamma Asymptotic Left Inequality Verifierstatic R1ToR1PropertyGammaInequalityLemma. LogarithmicConvex()Generate the Logarithmically Convex Inequality Verifierstatic R1ToR1PropertyHypergeometricEqualityLemma. LogOnePlusZ()Construct the Log (1 + z) Special Case Verifierstatic R1ToR1PropertyReimannZetaEqualityLemma. MeromorphicAnalyticContinuation()Construct the Meromorphic Analytic Continuation Property of the Riemann Zeta Functionstatic R1ToR1PropertyBigPiEqualityLemma. MultiplicationFormula(int m)Construct the Multiplication Formula Verifierstatic R1ToR1PropertyGammaEqualityLemma. MultiplicationFormula(int m)Construct the Multiplication Formula Verifierstatic R1ToR1PropertyDigammaSaddlePointEqualityLemma. QuadraticPolynomialReciprocalSum1(R1ToR1 digammaSaddlePointsFunction)Construct the First Quadratic Polynomial Reciprocal Sum Verifierstatic R1ToR1PropertyDigammaSaddlePointEqualityLemma. QuadraticPolynomialReciprocalSum2(R1ToR1 digammaSaddlePointsFunction)Construct the Second Quadratic Polynomial Reciprocal Sum Verifierstatic R1ToR1PropertyDigammaSaddlePointEqualityLemma. QuadraticReciprocalSum(R1ToR1 digammaSaddlePointsFunction)Construct the Quadratic Reciprocal Sum Verifierstatic R1ToR1PropertyDigammaSaddlePointEqualityLemma. QuarticReciprocalSum(R1ToR1 digammaSaddlePointsFunction)Construct the Quartic Reciprocal Sum Verifierstatic R1ToR1PropertyBigPiEqualityLemma. ReflectionFormula()Construct the Reflection Formula Verifierstatic R1ToR1PropertyDigammaEqualityLemma. ReflectionFormula()Generate the Digamma (0, 1) Reflection Formula Verifierstatic R1ToR1PropertyGammaEqualityLemma. ReflectionFormula()Construct the Reflection Formula Verifierstatic R1ToR1PropertyGaussContiguousEqualityLemma. RelationIdentity2(double a, double b, double c)Construct the Hyper-geometric Gauss Contiguous Identity #2 Verifierstatic R1ToR1PropertyGaussContiguousEqualityLemma. RelationIdentity3(double a, double b, double c)Construct the Hyper-geometric Gauss Contiguous Identity #3 Verifierstatic R1ToR1PropertyGaussContiguousEqualityLemma. RelationIdentity4(double a, double b, double c)Construct the Hyper-geometric Gauss Contiguous Identity #4 Verifierstatic R1ToR1PropertyGaussContiguousEqualityLemma. RelationIdentity5(double a, double b, double c)Construct the Hyper-geometric Gauss Contiguous Identity #5 Verifierstatic R1ToR1PropertyGaussContiguousEqualityLemma. RelationIdentity6(double a, double b, double c)Construct the Hyper-geometric Gauss Contiguous Identity #6 Verifierstatic R1ToR1PropertyGaussContiguousEqualityLemma. RelationIdentity7(double a, double b, double c)Construct the Hyper-geometric Gauss Contiguous Identity #7 Verifierstatic R1ToR1PropertyDigammaInequalityLemma. RightAsymptote()Generate the Digamma Asymptotic Right Inequality Verifierstatic R1ToR1PropertyGammaInequalityLemma. SpacedPointConvex(double y)Generate the Spaced Point Convex Inequality Verifierstatic R1ToR1PropertyDigammaEqualityLemma. SummationIdentity1()Generate the Gaussian Finite Summation Identity Verifier #1static R1ToR1PropertyDigammaEqualityLemma. SummationIdentity10()Generate the Blagouchine Finite Summation Identity Verifier #10static R1ToR1PropertyDigammaEqualityLemma. SummationIdentity2(int k)Generate the Gaussian Finite Summation Identity Verifier #2static R1ToR1PropertyDigammaEqualityLemma. SummationIdentity3(int k)Generate the Gaussian Finite Summation Identity Verifier #3static R1ToR1PropertyDigammaEqualityLemma. SummationIdentity4(int k)Generate the Blagouchine Finite Summation Identity Verifier #4static R1ToR1PropertyDigammaEqualityLemma. SummationIdentity5(int k)Generate the Blagouchine Finite Summation Identity Verifier #5static R1ToR1PropertyDigammaEqualityLemma. SummationIdentity6()Generate the Blagouchine Finite Summation Identity Verifier #6static R1ToR1PropertyDigammaEqualityLemma. SummationIdentity7()Generate the Blagouchine Finite Summation Identity Verifier #7static R1ToR1PropertyDigammaEqualityLemma. SummationIdentity8(double l)Generate the Blagouchine Finite Summation Identity Verifier #8static R1ToR1PropertyDigammaEqualityLemma. SummationIdentity9(double l)Generate the Blagouchine Finite Summation Identity Verifier #9static R1ToR1PropertyHypergeometricEqualityLemma. VidunasHigherOrderTransformation()Construct the Vidunas Higher Order Transformation Verifierstatic R1ToR1PropertyDigammaInequalityLemma. ZeroOneLeftBound()Generate the Digamma (0, 1) Left Bound Inequality Verifierstatic R1ToR1PropertyDigammaInequalityLemma. ZeroOneRightBound()Generate the Digamma (0, 1) Right Bound Verifier