An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2023 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Revista de Engenharia Química e Química |
| DOI: | 10.18540/jcecvl9iss9pp16052-01e |
| 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. |
| id |
UFV-4_8937fe7861e4b755e87c02930074170c |
|---|---|
| oai_identifier_str |
oai:ojs.periodicos.ufv.br:article/16052 |
| network_acronym_str |
UFV-4 |
| network_name_str |
Revista de Engenharia Química e Química |
| 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 An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function Annamalai, Chinnaraji Computation, Euler Integral, Factorial, Derivation. 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 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 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 Annamalai, Chinnaraji Siqueira, Antonio Marcos de Oliveira 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 |
| _version_ |
1822179040678641664 |
| dc.identifier.doi.none.fl_str_mv |
10.18540/jcecvl9iss9pp16052-01e |