Evaluate the Laplacian of the multi-variable function at the point \( (\frac{\pi}{2}, \; 3) \)

\[ f(x, \; y)=ye^{ix}+y \ln (ix) +x^2 \]

**Details and Assumptions**:

\( i=\sqrt{-1}\)

\(\textrm{Laplacian of a scalar function}: \:\: \nabla^2 f(x, \; y)= \frac{\partial^2 f}{\partial x^2} + \frac{\partial^2 f}{\partial y^2}\)

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