For a positive-coefficient Wolff-Denjoy series with real poles, the reciprocal equals a linear term plus another Wolff-Denjoy series whose coefficients are the reciprocals of the derivative at the zeros.
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Analog for the Wiener Lemma for Wolff-Denjoy Series
For a positive-coefficient Wolff-Denjoy series with real poles, the reciprocal equals a linear term plus another Wolff-Denjoy series whose coefficients are the reciprocals of the derivative at the zeros.