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Journal of Advances in Mathematics and Computer Science

Journal of Advances in Mathematics and Computer Science, ISSN: 2456-9968, ISSN: 2231-0851 (Past),Vol.: 23, Issue.: 3

 

Short Communication

 

The Gamma Function and Its Analytical Applications

 

 

Mohammed Muniru Iddrisu1* and Kodjoe Isaac Tetteh2

1Department of Mathematics, Faculty of Mathematical Sciences, University for Development Studies, P.O.Box 24, Navrongo Campus, Navrongo, Ghana.

2Department of Mathematics, Navrongo Senior High School, Navrongo, Ghana.

 

Abstracts

 

This paper explores the history and properties of the Gamma function with some analytical applications. Specifically, the Gamma function is employed to prove the legitimacy of the Standard Normal Distribution and for evaluation of some integrals involving the Laplace and Fourier Transforms using very simple techniques. Moreover, this paper demonstrates that the Gamma function is not a mere formula and proof in itself but rather an essential tool for applications in evaluating integrals that occur in practice and also in simplifying proofs of some other important identities and theorems in mathematics.

 

Keywords :

Gamma function; applications; standard normal distribution; Laplace and Fourier transforms.

 

Full Article - PDF    Page 1-16    Article Metrics

 

DOI : 10.9734/JAMCS/2017/34779

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