Package org.drip.specialfunction.generator

Class SphericalBesselFirstKindExpansion

java.lang.Object
org.drip.specialfunction.generator.SeriesExpansion
org.drip.specialfunction.generator.SphericalBesselFirstKindExpansion
All Implemented Interfaces:
R2ToR1
public class SphericalBesselFirstKindExpansion
extends SeriesExpansion
SphericalBesselFirstKindExpansion implements the Generating Function and the Expansion Terms for the Spherical 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
It provides the following functionality:
  • SphericalBesselFirstKindExpansion Constructor
  • Retrieve the First Kind Spherical Bessel Function Estimator
  • Retrieve the Gamma Estimator
  • Generate the Default Series

Module Computational Core Module
Library Function Analysis Library
Project Special Function Implementation and Analysis
Package Special Function Series Term Generators
Author:
Lakshmi Krishnamurthy

  • Constructor Details

    • SphericalBesselFirstKindExpansion

      public SphericalBesselFirstKindExpansion​(SphericalBesselFirstKindEstimator sphericalBesselFirstKindEstimator, R1ToR1 gammaEstimator) throws java.lang.Exception
      SphericalBesselFirstKindExpansion Constructor
      Parameters:
      sphericalBesselFirstKindEstimator - First Kind Spherical Bessel Function Estimator
      gammaEstimator - The Gamma Estimator
      Throws:
      java.lang.Exception - Thrown if the Inputs are Invalid

  • Method Details

    • sphericalBesselFirstKindEstimator

      public SphericalBesselFirstKindEstimator sphericalBesselFirstKindEstimator()
      Retrieve the First Kind Spherical Bessel Function Estimator
      Returns:
      The First Kind Spherical Bessel Function Estimator

    • gammaEstimator

      public R1ToR1 gammaEstimator()
      Retrieve the Gamma Estimator
      Returns:
      The Gamma Estimator

    • evaluate

      public double evaluate​(double z, double t) throws java.lang.Exception
      Description copied from interface: R2ToR1
      Evaluate for the given variate Pair
      Parameters:
      z - X
      t - Y
      Returns:
      Returns the calculated value
      Throws:
      java.lang.Exception - Thrown if evaluation cannot be done

    • seriesTerm

      public R2ToR1SeriesTerm seriesTerm()
      Description copied from class: SeriesExpansion
      Generate the Special Function Series Expansion Term
      Specified by:
      seriesTerm in class SeriesExpansion
      Returns:
      The Special Function Series Expansion Term

    • series

      public R2ToR1Series series()
      Generate the Default Series
      Returns:
      The Default Series