  In this paper, we continue to study properties of rational approximations to
Euler's constant and values of the Gamma function defined by linear
recurrences, which were found recently by A. I. Aptekarev and T. Rivoal. Using
multiple Jacobi-Laguerre orthogonal polynomials we present rational
approximations to the quotient of values of the Gamma function at rational
points. As a limit case of our result, we obtain new explicit formulas for
numerators and denominators of the Aptekarev approximants to Euler's constant.
