منابع مشابه
New biorthogonal potential–density basis functions
We use the weighted integral form of spherical Bessel functions, and introduce a new analytical set of complete and biorthogonal potential–density basis functions. The potential and density functions of the new set have finite central values and they fall off, respectively, similar to r and r at large radii where l is the latitudinal quantum number of spherical harmonics. The lowest order term ...
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A class of complete potential-density basis sets in cylindrical (R,φ, z) coordinates is presented. This class is suitable for stability studies of galactic disks in three dimensions and includes basis sets tailored for disks with vertical density profiles that are exponential (e−|z|/z0), Gaussian (e−(z/z0) 2 ) or locally isothermal ( sech(z/z0) ). The basis sets are non-discrete and non-biortho...
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We present a new skew-normal distribution, denoted by NSN($lambada$). We first derive the density and moment generating function of NSN($lambada$). The properties of SN($lambada$), the known skew-normal distribution of Azzalini, and NSN($lambada$) are compared with each other. Finally, a numerical example for testing about the parameter $lambada$ in NSN($lambada$) is given. ...
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ژورنال
عنوان ژورنال: Proceedings of the International Astronomical Union
سال: 2007
ISSN: 1743-9213,1743-9221
DOI: 10.1017/s1743921308017237