Bivariable Uniform Conditioning

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Bivariable Uniform Conditioning
Hello Guys,

I've been trying to reproduce the expression of the metal quantity in term of Hermite polynomials but I failed to get the expression similar to the final one done by Rivoirard:

The issue is in the formulation of the conditional bias in term of Hermite polynomials but with two conditioning informations this time, Y1(V)* and Y2(V)*, which are the Gaussian equivalents of the estimates of Z1(V) and Z2(V) for a panel V.

Any help please. Thank you.