Affiliation:
1. Department of Mathematics, Faculty of Science, Çankiri Karatekin University, TR 18100, Çankiri, TURKEY
Abstract
The fundamental aim of this special research is first to introduce certain essential information in regards to some special functions, which are the Gamma function and the Beta function and play a big role in both (applied) mathematics and most engineering sciences, and then to present both a number of their familiar properties and several relationships between them. Afterward, various possible-undeniable effects of those special functions in the transformation theory, their special implications, and suggestions for the relevant researchers will be also considered as special information.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Reference56 articles.
1. F. Al-Sirehy and B. Fisher, Evaluation of the beta function, Int. J. Appl. Math., Vol. 26, No. 1, 2011, pp. 359-70.
2. L. C. Andre [14] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, 2007.ws, Special Functions For Engineers and Applied Mathematicians, Macmillan Publishing Company, New York, 1985.
3. G. B. Arfken and H. J. Weber, Mathematical Methods for Physics, Elsevier Academic Press, USA, 2005.
4. R. Beals and R. Wong, Special Functions: A Graduate Text, Cambridge University Press, 2010.
5. G. D. Birkhoff, Note on the gamma function, Bull. Amer. Math. Soc., Vol. 20, No. 1, 1913, pp. 1-10.