A Note on the Theory of Gamma and Beta Functions-Reference-Cited by-同舟云学术

A Note on the Theory of Gamma and Beta Functions

Published:2022-12-21 Issue: Volume: Page:
ISSN:2148-2683
Container-title:European Journal of Science and Technology
language:tr
Short-container-title:EJOSAT

Author:

ÖZDOĞAN Nihal¹

Affiliation:

1. BURSA TEKNİK ÜNİVERSİTESİ, MÜHENDİSLİK VE DOĞA BİLİMLERİ FAKÜLTESİ

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.

Publisher

European Journal of Science and Technology

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference15 articles.

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.