For confluently coupled rectangular random matrices, the large-n mean density of squared singular values is the second component of a three-measure vector equilibrium problem, with Meijer-G hard edge and sine/Airy universality.
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Large n limit for the product of two coupled random matrices
For confluently coupled rectangular random matrices, the large-n mean density of squared singular values is the second component of a three-measure vector equilibrium problem, with Meijer-G hard edge and sine/Airy universality.