Analytical properties of the R^(1/m) luminosity law

dc.creatorCiotti, L.
dc.creatorBertin, G.
dc.date1999-11-05
dc.date.accessioned2026-07-07T02:34:14Z
dc.date.available2026-07-07T02:34:14Z
dc.descriptionIn this paper we describe some analytical properties of the R^{1/m} law proposed by Sersic (1968) to categorize the photometric profiles of elliptical galaxies. In particular, we present the full asymptotic expansion for the dimensionless scale factor b(m) that is introduced when referring the profile to the standard effective radius. Surprisingly, our asymptotic analysis turns out to be useful even for values of m as low as unity, thus providing a unified analytical tool for observational and theoretical investigations based on the R^{1/m} law for the entire range of interesting photometric profiles, from spiral to elliptical galaxies.
dc.description9 pages, 1 figure, to be published in A&A (main journal)
dc.identifierhttps://arxiv.org/abs/astro-ph/9911078
dc.identifierhttp://arxiv.org/abs/astro-ph/9911078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15166
dc.subjectAstrophysics
dc.titleAnalytical properties of the R^(1/m) luminosity law
dc.typetext

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