Package org.drip.numerical.estimation
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 Summary
Modifier and Type Method Description boolean
proportional()
Indicate if the Rx To R1 Series Expansion Term is Proportionaljava.util.TreeMap<java.lang.Integer,java.lang.Double>
termWeightMap()
Retrieve the Rx To R1 Series Expansion Term Weight MapMethods inherited from class org.drip.function.definition.R1ToR1
antiDerivative, conditionNumber, derivative, differential, differential, evaluate, integrate, maxima, maxima, minima, minima, poleResidue
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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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
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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
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