q-Analogues for Green functions for powers of the invariant Laplacian in the unit disc
Abstract
In a recent work of J. Peetre and M. Englis explicit formulae were obtained for Green functions of the powers of the M\"obius-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.
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