An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function
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 fa...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2023-06-01
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| Series: | The Journal of Engineering and Exact Sciences |
| Subjects: | |
| Online Access: | https://periodicos.ufv.br/jcec/article/view/16052 |
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| author | Chinnaraji Annamalai Antonio Marcos de Oliveira Siqueira |
| author_facet | Chinnaraji Annamalai Antonio Marcos de Oliveira Siqueira |
| author_sort | Chinnaraji Annamalai |
| collection | DOAJ |
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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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| format | Article |
| id | doaj-art-f033d9e0399f4539ab331f33249025a8 |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-f033d9e0399f4539ab331f33249025a82025-02-02T19:54:59ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752023-06-019910.18540/jcecvl9iss9pp16052-01eAn Alternative Method for the Gamma Function derived from Natural Logarithm and Pi FunctionChinnaraji Annamalai0Antonio Marcos de Oliveira Siqueira1Indian Institute of Technology KharagpurChemical Engineering Graduate Program, Federal University of Viçosa, Viçosa/MG, Brazil 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. https://periodicos.ufv.br/jcec/article/view/16052Computation, Euler Integral, Factorial, Derivation. |
| spellingShingle | Chinnaraji Annamalai Antonio Marcos de Oliveira Siqueira An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function The Journal of Engineering and Exact Sciences Computation, Euler Integral, Factorial, Derivation. |
| title | 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_short | An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function |
| title_sort | alternative method for the gamma function derived from natural logarithm and pi function |
| topic | Computation, Euler Integral, Factorial, Derivation. |
| url | https://periodicos.ufv.br/jcec/article/view/16052 |
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