 The orders "m" and "n" can be chosen freely in the ranges 0 ≤ "m" ≤ "q" and 0 ≤ "n" ≤ "p", which allows to avoid that specific integer values or integer differences among the parameters ap and bq of the polynomial give rise to divergent gamma functions in the prefactor or to a conflict with the definition of the G-function.Note that the first G-function vanishes for "n" = 0 if "p" > "q", while the second G-function vanishes for "m" = 0 if "p" < "q".Again, the formula can be verified by expressing the two G-functions as sums of residues; no cases of confluent poles permitted by the definition of the G-function need be excluded here.