2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60795In a recent work of J. Peetre and M. Englius explicit formulae were obtained for Green functions of the powers of the Möbius-invariant Laplace operator in the unit disc. In the present work their q-analogues for the first and the second powers are obtained. By the way a q-analogue of the dilogarithm in Rogers' form arises.LaTeX 2e, 18 pages, vaksman@ilt.kharkov.uaQuantum AlgebraComplex VariablesFunctional Analysis81R50 (Primary) 81Q99 (Secondary)text