  In a first part, we generalize a theorem for an holomorphic $\times $
anti-holomorphic integrand, in the case of 2 dimensional Fourier transform. In
the second part, we derive p-uple conformal integrals the integrand of which
are linear combination of holomorphic times holomorphic generalized
hypergeometric functions. The specific case $p=3$ is relevant to determine the
triple Pomeron vertex in QCD.
