As can be seen from the definition of the G-function, if equal parameters appear among the ap and bq determining the factors in the numerator and the denominator of the integrand, the fraction can be simplified, and the order of the function thereby be reduced. Whether the order "m" or "n" will decrease depends on the particular position of the parameters in question. Thus, if one of the "a""k", "k" = 1, 2, ..., "n", equals one of the "b""j", "j" = "m" + 1, ..., "q", the G-function lowers its orders "p", "q" and "n":