Dimensions of Julia sets of hyperbolic meromorphic functions

It is known that, if $f$ is a hyperbolic rational function, then the Hausdorff, packing and box dimensions of the Julia set $J(f)$ are equal. In this paper it is shown that, for a hyperbolic transcendental meromorphic function $f$, the packing and upper box dimensions of $J(f)$ are equal, but can be strictly greater than the Hausdorff dimension of $J(f)$