Title of article :
Approximations to the Euler–Mascheroni Constant
Author/Authors :
Han ، Xue-Feng Department of Mathematics - School of Mathematics and Information Science - Henan Polytechnic University , Chen ، Chao-Ping Department of Mathematics - School of Mathematics and Information Science - Henan Polytechnic University
Abstract :
In this paper,we establish an asymptotic expansion for the Euler–Mascheroni constant. Based on this expansion, we establish a two-sided inequality and a continued fraction approximation for the Euler–Mascheroni constant.
Keywords :
Euler–Mascheroni constant , Psi (or Digamma) function , Polygamma functions , Asymptotic expansion , Inequality ,
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society