q-Analogues for Green functions for powers of the invariant Laplacian in the unit disc
Quantum Algebra
2007-05-23 v1 Complex Variables
Functional Analysis
Abstract
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.
Cite
@article{arxiv.math/0101178,
title = {q-Analogues for Green functions for powers of the invariant Laplacian in the unit disc},
author = {D. Shklyarov},
journal= {arXiv preprint arXiv:math/0101178},
year = {2007}
}
Comments
LaTeX 2e, 18 pages, [email protected]