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High Quality Content by WIKIPEDIA articles! In mathematics the Selberg integral is a generalization of Euler beta function to n dimensions introduced and proven by Atle Selberg (1944)Selberg's formula implies Dixon's identity for well poised hypergeometric series, and some special cases of Dyson's conjecture.It is the partition function for a gas of point charges moving on a line that are attracted to the origin (Mehta 2004). Its value can be deduced from that of the Selberg integral, and isMacdonald (1982) conjectured the following extension of Mehta's integral to all finite root systems, Mehta's original case corresponding to the An 1 root system.