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Analytical expressions for the deprojected Sérsic model, II: general expressions in terms of the Fox H function

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Abstract
The Sersic 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 Sersic model in terms of the Fox H function for general values of the Sersic index. Furthermore, we present explicit series expansions of these quantities and discuss the asymptotic behaviour. Our analysis completes earlier work and demonstrates the power of the underestimated Fox H function as a tool for analytical work.
Keywords
SURFACE BRIGHTNESS GALAXIES, REACTION-DIFFUSION EQUATIONS, ELLIPTIC GALAXIES, STRUCTURAL PARAMETERS, LUMINOSITY LAW, FUNDAMENTAL PLANE, SPIRAL GALAXIES, FORNAX CLUSTER, LIGHT PROFILES, EARLY-TYPE GALAXIES, galaxies: photometry, methods: analytical

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Chicago
Baes, Maarten, and Emmanuel Van Hese. 2011. “Analytical Expressions for the Deprojected Sérsic Model, II: General Expressions in Terms of the Fox H Function.” Astronomy & Astrophysics 534.
APA
Baes, M., & Van Hese, E. (2011). Analytical expressions for the deprojected Sérsic model, II: general expressions in terms of the Fox H function. ASTRONOMY & ASTROPHYSICS, 534.
Vancouver
1.
Baes M, Van Hese E. Analytical expressions for the deprojected Sérsic model, II: general expressions in terms of the Fox H function. ASTRONOMY & ASTROPHYSICS. 2011;534.
MLA
Baes, Maarten, and Emmanuel Van Hese. “Analytical Expressions for the Deprojected Sérsic Model, II: General Expressions in Terms of the Fox H Function.” ASTRONOMY & ASTROPHYSICS 534 (2011): n. pag. Print.
@article{2113904,
  abstract     = {The Sersic 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 Sersic model in terms of the Fox H function for general values of the Sersic index. Furthermore, we present explicit series expansions of these quantities and discuss the asymptotic behaviour. Our analysis completes earlier work and demonstrates the power of the underestimated Fox H function as a tool for analytical work.},
  articleno    = {A69},
  author       = {Baes, Maarten and Van Hese, Emmanuel},
  issn         = {0004-6361},
  journal      = {ASTRONOMY & ASTROPHYSICS},
  keywords     = {SURFACE BRIGHTNESS GALAXIES,REACTION-DIFFUSION EQUATIONS,ELLIPTIC GALAXIES,STRUCTURAL PARAMETERS,LUMINOSITY LAW,FUNDAMENTAL PLANE,SPIRAL GALAXIES,FORNAX CLUSTER,LIGHT PROFILES,EARLY-TYPE GALAXIES,galaxies: photometry,methods: analytical},
  language     = {eng},
  pages        = {8},
  title        = {Analytical expressions for the deprojected Sérsic model, II: general expressions in terms of the Fox H function},
  url          = {http://dx.doi.org/10.1051/0004-6361/201117708},
  volume       = {534},
  year         = {2011},
}

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