The G-transform of a function f(x) is defined by the integral (G f)(x) = (G_(p q)^(m n) left bracketing bar (a_p) (b_q) right bracketing bar f(t))(x) =1/(2π i) integral_σ Γ[(b_m) + s, | 1 - (a_n) - s (a_p^(n + 1)) + s, | 1 - (b_q^(m + 1)) - s]×f^*(s) x^(-s) d s, where G_(p q)^(m n) is the Meijer G-function,

Meijer G-function | W-transform