Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics
Scientific paper
2011-08-08
Astronomy and Astrophysics
Astrophysics
Cosmology and Extragalactic Astrophysics
8 pages, accepted for publication in A&A
Scientific paper
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.
Baes Maarten
Van Hese Emmanuel
No associations
LandOfFree
Analytical expressions for the deprojected Sérsic model - II. General expressions in terms of the Fox H function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Analytical expressions for the deprojected Sérsic model - II. General expressions in terms of the Fox H function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical expressions for the deprojected Sérsic model - II. General expressions in terms of the Fox H function will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-189684