ar X iv : a st ro - p h / 98 11 28 9 v 1 1 8 N ov 1 99 8 Observation and Theory of The Initial Stellar Mass Function † By BRUCE

ar X iv : a st ro - p h / 98 11 24 4 v 1 1 6 N ov 1 99 8 Fast X - ray Variability of PKS 2155 – 304 : A Cross

ar X iv : a st ro - p h / 98 11 19 7 v 1 1 2 N ov 1 99 8 The ‘ bare ’ strange stars might not be bare

ar X iv : a st ro - p h / 99 11 43 8 v 1 2 3 N ov 1 99 9 H 2 molecules and cold clouds in cooling flow clusters †

ar X iv : a st ro - p h / 98 11 41 8 v 1 2 6 N ov 1 99 8 Astrophysics on the GRAPE Family of Special Purpose Computers Piet Hut Institute for Advanced Study

The GRAPE-4, the world's fastest computer in 1995-1997, has produced some major scientific results, through a wide diversity of large-scale simulations in astrophysics. Applications have ranged from planetary formation, through the evolution of star clusters and galactic nuclei, to the formation of galaxies and clusters of galaxies.

ar X iv : a st ro - p h / 98 11 11 0 v 1 6 N ov 1 99 8 Transformation of the Extended Gamma Function Γ

Two representations of the extended gamma functions Γ 2,0 0,2 [(b, x)] are proved. These representations are exploited to find a transformation relation between two Fox's H-functions. These results are used to solve Fox's H-function in terms of Meijer's G-function for certain values of the parameters. A closed form representation of the kernel of the Bessel type integral transform is also proved.