Package org.drip.specialfunction.bessel
Class FirstSchlafliIntegralEstimator
java.lang.Object
org.drip.specialfunction.definition.BesselFirstKindEstimator
org.drip.specialfunction.bessel.FirstSchlafliIntegralEstimator
- All Implemented Interfaces:
R2ToR1
public abstract class FirstSchlafliIntegralEstimator extends BesselFirstKindEstimator
FirstSchlafliIntegralEstimator implements the Integral Estimator for the Cylindrical Bessel
Function of the First Kind. The References are:
- Abramowitz, M., and I. A. Stegun (2007): Handbook of Mathematics Functions Dover Book on Mathematics
- Arfken, G. B., and H. J. Weber (2005): Mathematical Methods for Physicists 6th Edition Harcourt San Diego
- Temme N. M. (1996): Special Functions: An Introduction to the Classical Functions of Mathematical Physics 2nd Edition Wiley New York
- Watson, G. N. (1995): A Treatise on the Theory of Bessel Functions Cambridge University Press
- Wikipedia (2019): Bessel Function https://en.wikipedia.org/wiki/Bessel_function
- Construct the Bessel First Kind Estimator from the Schlafli Integer Integral Form
- Construct the Bessel First Kind Estimator from the Schlafli Non-Integer Integral Form
- Retrieve the Quadrature Count
Module | Product Core Module |
Library | Fixed Income Analytics |
Project | Special Function Implementation and Analysis |
Package | Ordered Bessel Function Variant Estimators |
- Author:
- Lakshmi Krishnamurthy
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Method Summary
Modifier and Type Method Description static FirstSchlafliIntegralEstimator
IntegerForm(int quadratureCount)
Construct the Bessel First Kind Estimator from the Schlafli Integer Integral Formstatic FirstSchlafliIntegralEstimator
NonIntegerForm(int quadratureCount)
Construct the Bessel First Kind Estimator from the Schlafli Non-Integer Integral Formint
quadratureCount()
Retrieve the Quadrature CountMethods inherited from class org.drip.specialfunction.definition.BesselFirstKindEstimator
AlphaNegativeIntegerAsymptote, AlphaPositiveIntegerOrZeroAsymptote, AlphaZeroApproximate, AlphaZeroNegativeZAsymptote, bigJ, evaluate, HighZAsymptote
Methods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
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Method Details
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IntegerForm
Construct the Bessel First Kind Estimator from the Schlafli Integer Integral Form- Parameters:
quadratureCount
- Count of the Integrand Quadrature- Returns:
- Bessel First Kind Estimator from the Schlafli Integer Integral Form
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NonIntegerForm
Construct the Bessel First Kind Estimator from the Schlafli Non-Integer Integral Form- Parameters:
quadratureCount
- Count of the Integrand Quadrature- Returns:
- Bessel First Kind Estimator from the Schlafli Non-Integer Integral Form
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quadratureCount
public int quadratureCount()Retrieve the Quadrature Count- Returns:
- The Quadrature Count
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