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Analytical expressions for the deprojected S'ersic model - II. General expressions in terms of the Fox H function | | M. Baes
; E. Van Hese
; | | Date: |
8 Aug 2011 | | Abstract: | The S’ersic model is the de facto standard to describe the surface
brightness distribution of hot stellar systems. An important inconvenience of
this analytical model is that the corresponding luminosity density and
associated properties cannot be expressed using elementary functions or even
standard special functions. We present a set of compact and elegant analytical
expressions for the luminosity density, cumulative luminosity and potential for
the S’ersic model in terms of the Fox H function for general values of the
S’ersic index. Furthermore, we present explicit series expansions of these
quantities and discuss the asymptotic behaviour. Our analysis completes the
work of Mazure & Capelato (2002) and Baes & Gentile (2011) and demonstrates the
power of the underestimated Fox H function as a tool for analytical work. | | Source: | arXiv, 1108.1618 | | Services: | Forum | Review | PDF | Favorites | |
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