Laguerre entire functions are the polynomials of a single complex variable possessing real nonpositive zeros only or their limits on compact subsets of C. These functions are employed to establish a property of isotropic (i.e., OðNÞ-invariant) probability measures on R , N 2 N. It is called the Lee–Yang property since, in the case N 1⁄4 1, it corresponds to the property of the partition functio...