Analytical properties of the R^{1/m} law

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dc.creatorCiotti, L.
dc.creatorBertin, G.
dc.date1999-08-27
dc.date.accessioned2026-07-07T02:32:56Z
dc.date.available2026-07-07T02:32:56Z
dc.descriptionIn this paper we describe some analytical properties of the R^{1/m} law proposed by Sersic 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.description2 pages, to appear in "Galaxy Dynamics: from the Early Universe to the Present", ASP Conf. Series, eds. F. Combes, G. Mamon, V. Charmandaris
dc.identifierhttps://arxiv.org/abs/astro-ph/9908306
dc.identifierhttp://arxiv.org/abs/astro-ph/9908306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/14645
dc.subjectAstrophysics
dc.titleAnalytical properties of the R^{1/m} law
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