Class GammaEqualityLemma
java.lang.Object
org.drip.specialfunction.property.GammaEqualityLemma
public class GammaEqualityLemma
extends java.lang.Object
GammaEqualityLemma contains the Verifiable Equality Lemmas of the Gamma Function. The References
are:
- Blagouchine, I. V. (2014): Re-discovery of Malmsten's Integrals, their Evaluation by Contour Integration Methods, and some Related Results Ramanujan Journal 35 (1) 21-110
- Borwein, J. M., and R. M. Corless (2017): Gamma Function and the Factorial in the Monthly https://arxiv.org/abs/1703.05349 arXiv
- Davis, P. J. (1959): Leonhard Euler's Integral: A Historical Profile of the Gamma Function American Mathematical Monthly 66 (10) 849-869
- Whitaker, E. T., and G. N. Watson (1996): A Course on Modern Analysis Cambridge University Press New York
- Wikipedia (2019): Gamma Function https://en.wikipedia.org/wiki/Gamma_function
- Construct the Reflection Formula Verifier
- Construct the Duplication Formula Verifier
- Construct the Multiplication Formula Verifier
Module | Computational Core Module |
Library | Function Analysis Library |
Project | Special Function Implementation and Analysis |
Package | Special Function Property Lemma Verifiers |
- Author:
- Lakshmi Krishnamurthy
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Constructor Summary
Constructors Constructor Description GammaEqualityLemma()
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Method Summary
Modifier and Type Method Description static R1ToR1Property
DuplicationFormula()
Construct the Duplication Formula Verifierstatic R1ToR1Property
MultiplicationFormula(int m)
Construct the Multiplication Formula Verifierstatic R1ToR1Property
ReflectionFormula()
Construct the Reflection Formula VerifierMethods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
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Constructor Details
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GammaEqualityLemma
public GammaEqualityLemma()
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Method Details
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ReflectionFormula
Construct the Reflection Formula Verifier- Returns:
- The Reflection Formula Verifier
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DuplicationFormula
Construct the Duplication Formula Verifier- Returns:
- The Duplication Formula Verifier
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MultiplicationFormula
Construct the Multiplication Formula Verifier- Parameters:
m
- m- Returns:
- The Multiplication Formula Verifier
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