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Proof of Gamma Function using Natural Logarithm and Pi Function

21 April 2023, Version 2
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

Several professors of mathematics from the renowned universities in Australia, Canada, Europe, India, USA, etc. argue with me that the gamma function is not related to the factorial function. For them, this paper presents the proof of gamma function using the natural logarithm and Euler’s factorial function, also known as Pi function.

Keywords

computation
Euler integral
derivation

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Comment number 2, Chinnaraji Annamalai: May 01, 2023, 12:54

https://www.researchgate.net/profile/Chinnaraji-Annamalai

Comment number 1, Chinnaraji Annamalai: Apr 24, 2023, 01:09

Correction in this article: kindly read the sub-section as "4. Conclusion" instead of "4 Natural Logarithm".

Now Published

An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function [opens in a new tab]
Chinnaraji Annamalai, Antonio Marcos de Oliveira Siqueira journal article
The Journal of Engineering and Exact Sciences , Volume 9, Issue 9
Online publication date: Jun 26, 2023

Version History

Apr 21, 2023 Version 2

Version Notes

I have included the additional section '2. natural logarithm' in the new version.

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The content is available under CC BY 4.0 [opens in a new tab]

DOI

10.33774/coe-2023-wv4rc-v2
D O I: 10.33774/coe-2023-wv4rc-v2 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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