NOTE ON THE MULTIPLE GAMMA FUNCTIONS

  • Ok, Bo-Myoung (School of Computer Information Engineering Youngsan University) ;
  • Seo, Tae-Young (Department of Mathematics College of Natural Sciences Pusan National University)
  • Published : 2002.12.27

Abstract

Recently the theory of the multiple Gamma functions, which were studied by Barnes and others a century ago, has been revived in the study of determinants of Laplacians. Here we are aiming at evaluating the values of the multiple Gamma functions ${\Gamma}_n(\frac{1}{2})$ in terms of the Hurwitz or Riemann Zeta functions.

Keywords