Package org.drip.specialfunction.property

Class BesselFirstEqualityLemma

java.lang.Object
org.drip.specialfunction.property.BesselFirstEqualityLemma
public class BesselFirstEqualityLemma
extends java.lang.Object
BesselFirstEqualityLemma implements the implements the Equality Lemmas 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
It provides the following functionality:
  • Construct the Bessel First Kind Mirror Identity Verifier
  • Construct the Bessel First Kind Half-Integer Identity Verifier

Module Computational Core Module
Library Function Analysis Library
Project Special Function Implementation and Analysis
Package Special Function Property Lemma Verifiers
Author:
Lakshmi Krishnamurthy

  • Constructor Summary

    Constructors
    Constructor Description
    BesselFirstEqualityLemma()  

  • Method Summary

    Modifier and Type Method Description
    static R2ToR1Property HalfIntegerIdentity()
    Construct the Bessel First Kind Half-Integer Identity Verifier
    static R2ToR1Property MirrorIdentity()
    Construct the Bessel First Kind Mirror Identity Verifier

    Methods inherited from class java.lang.Object

    equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • BesselFirstEqualityLemma

      public BesselFirstEqualityLemma()

  • Method Details

    • MirrorIdentity

      public static final R2ToR1Property MirrorIdentity()
      Construct the Bessel First Kind Mirror Identity Verifier
      Returns:
      The Bessel First Kind Mirror Identity Verifier

    • HalfIntegerIdentity

      public static final R2ToR1Property HalfIntegerIdentity()
      Construct the Bessel First Kind Half-Integer Identity Verifier
      Returns:
      The Bessel First Kind Half-Integer Identity Verifier