q-Analogues for Green functions for powers of the invariant Laplacian in the unit disc

Details q-Analogues for Green functions for powers of the invariant Laplacian in the unit disc q-Analogues for Green functions for powers of the invariant Laplacian in the unit disc

2001-01-22

arxiv.org/abs/math/0101178v1

Mathematical physics, analysis, geometry (Kharkov Mathematical Journal), v.7, 2000, p.345-365

Mathematics

Quantum Algebra

LaTeX 2e, 18 pages, vaksman@ilt.kharkov.ua

Scientific paper

In a recent work of J. Peetre and M. Engli\u{s} 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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