Any free additive infinitely divisible distribution is the weak limit of root distributions of Appell polynomials f_n(∂_z)z^n for Laguerre-Pólya sequences f_n, with extensions to multiplicative cases, rectangular convolution, and limiting Cauchy distribution for Jensen polynomials of the Riemann Xi-
Martinez-Finkelshtein and E
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P\'olya--Schur problems and free probability
Any free additive infinitely divisible distribution is the weak limit of root distributions of Appell polynomials f_n(∂_z)z^n for Laguerre-Pólya sequences f_n, with extensions to multiplicative cases, rectangular convolution, and limiting Cauchy distribution for Jensen polynomials of the Riemann Xi-