Class RkToR1Series

java.lang.Object
org.drip.function.definition.R1ToR1
org.drip.numerical.estimation.RkToR1Series
Direct Known Subclasses:
R0ToR1Series, R1ToR1Series

public abstract class RkToR1Series
extends R1ToR1
RkToR1Series contains the Rk To R1 Expansion Terms in the Ordered Series of the Numerical Estimate for a Function. The References are:

  • Mortici, C. (2011): Improved Asymptotic Formulas for the Gamma Function Computers and Mathematics with Applications 61 (11) 3364-3369
  • National Institute of Standards and Technology (2018): NIST Digital Library of Mathematical Functions https://dlmf.nist.gov/5.11
  • Nemes, G. (2010): On the Coefficients of the Asymptotic Expansion of n! https://arxiv.org/abs/1003.2907 arXiv
  • Toth V. T. (2016): Programmable Calculators – The Gamma Function http://www.rskey.org/CMS/index.php/the-library/11
  • Wikipedia (2019): Stirling's Approximation https://en.wikipedia.org/wiki/Stirling%27s_approximation


Author:
Lakshmi Krishnamurthy
  • Method Details

    • proportional

      public boolean proportional()
      Indicate if the Rx To R1 Series Expansion Term is Proportional
      Returns:
      TRUE - The Rx To R1 Series Expansion Term is Proportional
    • termWeightMap

      public java.util.TreeMap<java.lang.Integer,​java.lang.Double> termWeightMap()
      Retrieve the Rx To R1 Series Expansion Term Weight Map
      Returns:
      The Rx To R1 Series Expansion Term Weight Map