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In mathematics, the generalized Pochhammer symbol of parameter α>0{\displaystyle \alpha >0} and partition κ=(κ1,κ2,…,κm){\displaystyle \kappa =(\kappa _{1},\kappa _{2},\ldots ,\kappa _{m})} generalizes the classical Pochhammer symbol, named after Leo August Pochhammer, and is defined as
It is used in multivariate analysis.