For the integral to converge along the second path one must have either "p" < "q", or "p" = "q" and |"z"| < 1, and for the poles to be distinct no pair among the "b""j", "j" = 1, 2, ..., "m", may differ by an integer or zero. The asterisks in the relation remind us to ignore the contribution with index "j" = "h" as follows: In the product this amounts to replacing Γ(0) with 1, and in the argument of the hypergeometric function, if we recall the meaning of the vector notation,