  Recently, Kim and Oh expressed the Selberg integral in terms of the number of
Young books which are a generalization of standard Young tableaux of shifted
staircase shape. In this paper the generating function for Young books
according to major index statistic is considered. It is shown that this
generating function can be written as a Jackson integral which gives a new
$q$-Selberg integral. It is also shown that the new $q$-Selberg integral has an
expression in terms of Schur functions.
