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A Note on the Theory of Gamma and Beta Functions

Sayı: 45 31 Aralık 2022
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A Note on the Theory of Gamma and Beta Functions

Abstract

Physics and engineering problems require a detailed knowledge of applied mathematics and an understanding of special functions such as gamma and beta functions. The topic of special functions is very important and it is constantly expanding with the existence of new problems in the applied sciences. In this article, we describe the basic theory of gamma and beta functions, their connections with each other and their applicability to engineering problems.

Keywords

Kaynakça

  1. Bell, W.W. (1968). Special Functions for Scientists and Engineers. Courier Corporation, D. Van Nostrand Company, London.
  2. Chaudry, M.A., Qadir A., Rafique, M., & Zubair, S.M. (1997). Extension of Euler’s beta function. Journal of Computational and Applied Mathematics, 78, 19-32.
  3. Euler, L. (1729). Letter to Goldbach, Oct. 13. Correspondence math. et phys. de quelques celebres geometres du 18e siecle, publiee par Fuss, vol. 1 (St. PMtersburg, 1843).
  4. Euler. L. (1729). De progressionibus transcendentibus sen quaroum termini generales algebrare dari nequeunt, (1738). Commentarii academiae scientiarum Petropolitanae, 5, 36-57, presented to the St. Petersburg Academy on November 28.
  5. Euler, L. (1771). Evolutio formulae integralis int xˆ(f-1) dx (lx)ˆ(m/n) integratione a valore x= 0 ad x= 1 extensa. Novi Commentarii Academiae Scientiarum Petropolitanae, 16, 91-139.
  6. Jaabar, S. M., & Hussain, A. H. (2021). Special Functions and Their Applications. International Journal of Engineering and Information Systems, Volume 5, 18-21.
  7. Legendre, A.M. (1814). Exercises de calcul integral. 2 vols. Courcier, Paris.
  8. Luke, Y.L. (1969). Special functions and their approximations. Vol. 1, Academic press.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Aralık 2022

Gönderilme Tarihi

15 Aralık 2022

Kabul Tarihi

21 Aralık 2022

Yayımlandığı Sayı

Yıl 2022 Sayı: 45

Kaynak Göster

APA
Özdoğan, N. (2022). A Note on the Theory of Gamma and Beta Functions. Avrupa Bilim ve Teknoloji Dergisi, 45, 60-63. https://doi.org/10.31590/ejosat.1219501