Can anyone suggest a reference for (left) Kan extensions of pseudofunctors?

In particular, say we are given bicategories $\mathscr{A,B,C}$ and pseudo functors $\mathscr A \xrightarrow{G} \mathscr C$ and $\mathscr A \xrightarrow{F} \mathscr B$, where $\mathscr C$ has all pseudo colimits. Then is the pseudo left Kan extension $\mathrm{PsLan}_F(G)$ of $G$ along $F$ given pointwise by the pseudo analogue of the standard formula for left Kan extensions of functors between 1-categories?

(I'm assuming that $\mathscr A$ is appropriately small).

EDIT: I am mostly interested in the case where $\mathscr A$ is actually a 1-category, and the functors $F$ and $G$ are strict functors.

enrichedcategory theory in terms of weighted colimits. $\endgroup$ – Zhen Lin Sep 1 '15 at 16:11