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

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dc.creatorShklyarov, D.
dc.date2001-01-22
dc.date.accessioned2026-07-07T04:39:45Z
dc.date.available2026-07-07T04:39:45Z
dc.descriptionIn 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.
dc.descriptionLaTeX 2e, 18 pages, vaksman@ilt.kharkov.ua
dc.identifierhttps://arxiv.org/abs/math/0101178
dc.identifierhttp://arxiv.org/abs/math/0101178
dc.identifierMathematical physics, analysis, geometry (Kharkov Mathematical Journal), v.7, 2000, p.345-365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60795
dc.subjectQuantum Algebra
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject81R50 (Primary) 81Q99 (Secondary)
dc.titleq-Analogues for Green functions for powers of the invariant Laplacian in the unit disc
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