Abstract:
In the recent work of J. Peetre and M. Englis̆ the explicit formulae were obtained for Green functions of the powers $\Delta$, $\Delta^2$, $\Delta^3$, $\Delta^4$ of the Möbius-invariant Laplace operator in the unit disc ${\mathbb U}\subset{\mathbb C}$. In the present work their q-analogues for $\Delta$, $\Delta^2$ are obtained. By the way a $q$-analogue of the dilogarithm in Rogers' form arises.