Published in

OpenAlex, 2023

DOI: 10.60692/rjk1z-e0j11

OpenAlex, 2023

DOI: 10.60692/j389c-66545

Universidade Federal de Viçosa, The Journal of Engineering and Exact Sciences, 9(9), p. 16052-01e, 2023

DOI: 10.18540/jcecvl9iss9pp16052-01e

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An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function

Journal article published in 2023 by Chinnaraji Annamalai ORCID, Antonio Marcos de Oliveira Siqueira ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

Several professors of mathematics from the renowned universities in Australia, Canada, Europe, India, USA, etc. argue with me that the gamma function was not derived from the factorial function. For them, this paper presents the derivation of gamma function from the natural logarithm and Euler’s factorial function. Also, a novel factorial theorem, which is alternative to the gamma function, is introduced in this article and it computes the accurate values of factorial for positive real numbers.