Package org.drip.sample.bessel

Estimates of the Bessel Functions

Author:

Lakshmi Krishnamurthy

Class Summary

Class	Description
AlphaNegativeIntegerFirstAsymptote	AlphaNegativeIntegerFirstAsymptote illustrates the Integer Alpha Strictly Negative Estimation for the Cylindrical Bessel Function of the First Kind.
AlphaNegativeIntegerSecondAsymptote	AlphaNonNegativeIntegerSecondAsymptote illustrates the Integer Alpha Negative Estimation for the Cylindrical Bessel Function of the Second Kind.
AlphaNonNegativeIntegerFirstAsymptote	AlphaNonNegativeIntegerFirstAsymptote illustrates the Integer Alpha Positive Estimation for the Cylindrical Bessel Function of the First Kind.
AlphaNonNegativeIntegerSecondAsymptote	AlphaNonNegativeIntegerSecondAsymptote illustrates the Integer Alpha Positive Estimation for the Cylindrical Bessel Function of the Scond Kind.
AlphaPositiveModifiedFirstAsymptote	AlphaPositiveModifiedFirstAsymptote illustrates the Alpha Positive Estimation for the Modified Bessel Function of the First Kind.
AlphaStrictlyPositiveModifiedSecondAsymptote	AlphaStrictlyPositiveModifiedSecondAsymptote illustrates the Integer Alpha Strictly Positive Estimation for the Modified Bessel Function of the Second Kind.
AlphaZeroFirstApproximate	AlphaZeroFirstApproximate illustrates the Alpha=0 Approximation for the Cylindrical Bessel Function of the First Kind.
AlphaZeroModifiedSecondAsymptote	AlphaZeroModifiedSecondAsymptote illustrates the Integer Alpha = 0 Estimation for the Modified Bessel Function of the Second Kind.
AlphaZeroNegativeZFirstAsymptote	AlphaZeroNegativeZFirstAsymptote illustrates the Alpha=0, Negative z Estimation for the Cylindrical Bessel Function of the First Kind.
AlphaZeroSecondAsymptote	AlphaZeroSecondAsymptote illustrates the Integer Alpha = 0 Estimation for the Cylindrical Bessel Function of the Second Kind.
FirstFrobeniusEstimate	FirstFrobeniusEstimate illustrates the Frobenius Series Based Estimation for the Cylindrical Bessel Function of the First Kind.
FirstSchlafliIntegerEstimate	FirstSchlafliIntegerEstimate illustrates the Schlafli Integral Based Estimation for the Cylindrical Bessel Function of the First Kind for Integer Orders.
FirstSchlafliNonIntegerEstimate	FirstSchlafliNonIntegerEstimate illustrates the Schlafli Integral Based Estimation for the Cylindrical Bessel Function of the First Kind for Non-Integer Orders.
HighZFirstAsymptote	HighZFirstAsymptote illustrates the High z Estimation for the Cylindrical Bessel Function of the First Kind.
HighZSecondAsymptote	HighZSecondAsymptote illustrates the High z Estimation for the Cylindrical Bessel Function of the Second Kind.
ModifiedFirstAlphaHalfAsymptote	ModifiedFirstAlphaHalfAsymptote illustrates the Large z Hankel Asymptote Series Based Estimation for the Modified Bessel Function of the First Kind, specifically for alpha = 0.5.
ModifiedFirstFrobeniusEstimate	ModifiedFirstFrobeniusEstimate illustrates the Frobenius Series Based Estimation for the Modified Bessel Function of the First Kind.
ModifiedFirstHankelAsymptote	ModifiedFirstHankelAsymptote illustrates the Large z Hankel Asymptote Series Based Estimation for the Modified Bessel Function of the First Kind.
ModifiedFirstIntegralEstimate	ModifiedFirstIntegralEstimate illustrates the Integral Based Estimation for the Modified Bessel Function of the First Kind for Non-Integer Orders.
ModifiedSecondAlphaHalfAsymptote	ModifiedSecondAlphaHalfAsymptote illustrates the Large z Hankel Asymptote Series Based Estimation for the Modified Bessel Function of the Second Kind, specifically for alpha = 0.5.
ModifiedSecondHankelAsymptote	ModifiedSecondHankelAsymptote illustrates the Large z Hankel Asymptote Series Based Estimation for the Modified Bessel Function of the Second Kind.
ModifiedSecondIntegralEstimate	ModifiedSecondIntegralEstimate illustrates the Integral Based Estimation for the Modified Bessel Function of the Second Kind for Non-Integer Orders.
ModifiedSecondOneThirdOrder	ModifiedSecondOneThirdOrder implements the Integral Estimator for the 1.
ModifiedSecondTwoThirdOrder	ModifiedSecondTwoThirdOrder implements the Integral Estimator for the 2.
ModifiedSecondZeroOrder	ModifiedSecondZeroOrder implements the Integral Estimator for the Zero Order Modified Bessel Function of the Second Kind.
RiccatiCEstimate	RiccatiCEstimate illustrates the Estimation of the Bessel-Riccati Function of the Second Kind.
RiccatiSEstimate	RiccatiSEstimate illustrates the Estimation of the Bessel-Riccati Function of the First Kind.
SecondNISTEstimate	SecondNISTEstimate illustrates the Bessel Second NIST Estimation for the Cylindrical Bessel Function of the Second Kind.
SecondWatsonEstimate	SecondWatsonEstimate illustrates the Watson Integral Based Estimation for the Cylindrical Bessel Function of the Second Kind for Integer Orders.
SphericalFirstEstimate	SphericalFirstEstimate illustrates the Estimation for the Spherical Bessel Function of the First Kind.
SphericalFirstOrderMinusFour	SphericalFirstOrderMinusFour implements the Estimator for the -4 Order Spherical Bessel Function of the First Kind.
SphericalFirstOrderMinusOne	SphericalFirstOrderMinusOne implements the Estimator for the -1 Order Spherical Bessel Function of the First Kind.
SphericalFirstOrderMinusThree	SphericalFirstOrderMinusThree implements the Estimator for the -3 Order Spherical Bessel Function of the First Kind.
SphericalFirstOrderMinusTwo	SphericalFirstOrderMinusTwo implements the Estimator for the -2 Order Spherical Bessel Function of the First Kind.
SphericalFirstOrderPlusOne	SphericalFirstOrderPlusOne implements the Estimator for the +1 Order Spherical Bessel Function of the First Kind.
SphericalFirstOrderPlusThree	SphericalFirstOrderPlusThree implements the Estimator for the +3 Order Spherical Bessel Function of the First Kind.
SphericalFirstOrderPlusTwo	SphericalFirstOrderPlusTwo implements the Estimator for the +2 Order Spherical Bessel Function of the First Kind.
SphericalFirstOrderZero	SphericalFirstOrderZero implements the Estimator for the Zero Order Spherical Bessel Function of the First Kind.
SphericalSecondEstimate	SphericalSecondEstimate illustrates the Estimation for the Spherical Bessel Function of the Second Kind.
SphericalSecondOrderPlusOne	SphericalSecondOrderPlusOne implements the Estimator for the +1 Order Spherical Bessel Function of the Second Kind.
SphericalSecondOrderPlusThree	SphericalSecondOrderPlusThree implements the Estimator for the +3 Order Spherical Bessel Function of the Second Kind.
SphericalSecondOrderPlusTwo	SphericalSecondOrderPlusTwo implements the Estimator for the +2 Order Spherical Bessel Function of the Second Kind.
SphericalSecondOrderZero	SphericalSecondOrderZero implements the Estimator for the Zero Order Spherical Bessel Function of the Second Kind.