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Catatan terhadap Turunan Fungsi Bernilai Real pada Ruang Metrik Diskrit Mas’ud, Syamsuddin
JURNAL DIFERENSIAL Vol 6 No 2 (2024): November 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i2.17392

Abstract

In these notes, comments will be provided on the paper by Herdiana et al. (Jurnal IlmiahMatematika dan Pendidikan Matematika: 15(2), 2023). In that paper, a definition of the derivativeof a function in a metric space is given, along with properties involving discrete metric spaces. Thepurpose of these notes is to comment on the section involving discrete metric spaces, specificallywhere a derivative is defined for functions in a discrete metric space, despite that discrete metricspaces do not have limit points. Additionally, if certain modifications are made to the definition ofthe derivative to accommodate discrete metric spaces, it would result in the derivative values notbeing unique. This makes the discussion of the derivative of functions in discrete metric spacesmeaningless.
Kaitan Fungsi Gamma terhadap Fungsi Trigonometri Hamzi, Zaidulkhair; Mas’ud, Syamsuddin; Alimuddin, Alimuddin
JURNAL DIFERENSIAL Vol 6 No 2 (2024): November 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i2.17958

Abstract

This paper is a literature study on the relationship between real factorials denoted by gamma functions to trigonometric functions. The main objective of this study is to prove the relationship with a different method from what has been done by George E. Andrews in the book “special functions”. In Goerge’s paper, the connection is proved by using the definition of the gamma function in integral form. As for this paper, the proof is done by using the definition of gamma function in a form other than integral.