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The beautiful Beraha-Kahane-Weiss theorem has found many applications withingraph theory, allowing for the determination of the limits of root of graphpolynomials in settings as vast as chromatic polynomials, network reliability,and generating polynomials related to independence and domination. Here weextend the class of functions to which the BKW theorem can be applied, andprovide some applications in combinatorics.

Extension to the Beraha-Kahane-Weiss Theorem with Applications