African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Technical Note

A new version of the proof of

Amusa I. Sesan
  • Amusa I. Sesan
  • Department of Mathematics, University of Lagos, Nigeria
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Mohammed A. Modiu
  • Mohammed A. Modiu
  • Department of Mathematics, Yaba College of Technology, Lagos, Nigeria
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Baiyeri J. Funso
  • Baiyeri J. Funso
  • Department of Mathematics, Yaba College of Technology, Lagos, Nigeria
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Ekakitie E. A.
  • Ekakitie E. A.
  • Department of Mathematics, Yaba College of Technology, Lagos, Nigeria
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  •  Accepted: 07 July 2013
  •  Published: 31 July 2013

Abstract

 

The result gamma n times gamma 1-n is a useful result in the theory of gamma and beta function, it is used to solve a definite integral where the function in it has a multi-valued function, several authors have proved this result in a tedious way. In this paper, we obtain a new version of the proof of   and the Legendre duplicating formulas for positive integer n, by using a simple analytical technique.

 

Key words: Gamma function, factorial and Legendre duplicating formulas.