Following the usual notation for generalized hypergeometric functions we let
(a) denotes the sequence of A parameters
that is, there are A of the a parameters and B of the b parameters. Thus ((a))m has the interpretation
with a similar interpretation for ((b))m; Δ(k; α) stands for the set of k parameters
and for the sake of brevity, the pair of parameters like α + β, α − β will be written as α ± β, the gamma product Γ(α + β) Γ(α − β) as Γ(α ± β), and so on.