Asymptotic behavior of discrete holomorphic maps z^c, log(z) and discrete Painleve transcedents

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dc.creatorAgafonov, S. I.
dc.date2005-01-22
dc.date.accessioned2026-07-07T05:16:17Z
dc.date.available2026-07-07T05:16:17Z
dc.descriptionIt is shown that discrete analogs of z^c and log(z) have the same asymptotic behavior as their smooth counterparts. These discrete maps are described in terms of special solutions of discrete Painleve-II equations, asymptotics of these solutions providing the behaviour of discrete z^c and log(z) at infinity.
dc.description15 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0501381
dc.identifierhttp://arxiv.org/abs/math/0501381
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73933
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject52C26 Circle packings and discrete conformal geometry
dc.titleAsymptotic behavior of discrete holomorphic maps z^c, log(z) and discrete Painleve transcedents
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