201010.1420v1 On a continued fraction expansion for Euler´s constant

Recently, A.~I.~Aptekarev and his collaborators found a sequence of rational approximations to Euler´s constant $\gamma$ defined by a third-order homogeneous linear recurrence. In this paper, we give a new interpretation of Aptekarev´s approximations to $\gamma$ in terms of Meijer $G$-functions and hypergeometric-type series. This approach ..