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

Detalhes bibliográficos
Autor(a) principal: Annamalai, Chinnaraji
Data de Publicação: 2023
Outros Autores: Siqueira, Antonio Marcos de Oliveira
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista de Engenharia Química e Química
Texto Completo: https://periodicos.ufv.br/jcec/article/view/16052
Resumo: 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.    
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spelling An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi FunctionComputation, Euler Integral, Factorial, Derivation.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.    Universidade Federal de Viçosa - UFV2023-06-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1605210.18540/jcecvl9iss9pp16052-01eThe Journal of Engineering and Exact Sciences; Vol. 9 No. 9 (2023); 16052-01eThe Journal of Engineering and Exact Sciences; Vol. 9 Núm. 9 (2023); 16052-01eThe Journal of Engineering and Exact Sciences; v. 9 n. 9 (2023); 16052-01e2527-1075reponame:Revista de Engenharia Química e Químicainstname:Universidade Federal de Viçosa (UFV)instacron:UFVenghttps://periodicos.ufv.br/jcec/article/view/16052/8032Copyright (c) 2023 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessAnnamalai, ChinnarajiSiqueira, Antonio Marcos de Oliveira2023-11-26T15:36:25Zoai:ojs.periodicos.ufv.br:article/16052Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/indexONGhttps://periodicos.ufv.br/jcec/oaijcec.journal@ufv.br||req2@ufv.br2446-94162446-9416opendoar:2023-11-26T15:36:25Revista de Engenharia Química e Química - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function
title An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function
spellingShingle An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function
Annamalai, Chinnaraji
Computation, Euler Integral, Factorial, Derivation.
title_short An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function
title_full An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function
title_fullStr An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function
title_full_unstemmed An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function
title_sort An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function
author Annamalai, Chinnaraji
author_facet Annamalai, Chinnaraji
Siqueira, Antonio Marcos de Oliveira
author_role author
author2 Siqueira, Antonio Marcos de Oliveira
author2_role author
dc.contributor.author.fl_str_mv Annamalai, Chinnaraji
Siqueira, Antonio Marcos de Oliveira
dc.subject.por.fl_str_mv Computation, Euler Integral, Factorial, Derivation.
topic Computation, Euler Integral, Factorial, Derivation.
description 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.    
publishDate 2023
dc.date.none.fl_str_mv 2023-06-26
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufv.br/jcec/article/view/16052
10.18540/jcecvl9iss9pp16052-01e
url https://periodicos.ufv.br/jcec/article/view/16052
identifier_str_mv 10.18540/jcecvl9iss9pp16052-01e
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ufv.br/jcec/article/view/16052/8032
dc.rights.driver.fl_str_mv Copyright (c) 2023 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2023 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
dc.source.none.fl_str_mv The Journal of Engineering and Exact Sciences; Vol. 9 No. 9 (2023); 16052-01e
The Journal of Engineering and Exact Sciences; Vol. 9 Núm. 9 (2023); 16052-01e
The Journal of Engineering and Exact Sciences; v. 9 n. 9 (2023); 16052-01e
2527-1075
reponame:Revista de Engenharia Química e Química
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str Revista de Engenharia Química e Química
collection Revista de Engenharia Química e Química
repository.name.fl_str_mv Revista de Engenharia Química e Química - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv jcec.journal@ufv.br||req2@ufv.br
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