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FACTORIZATIONS OF ANALYTIC FUNCTIONS VIA GENERALIZED INVERSE POWER PRODUCT EXPANSIONS
Given an arbitrary sequence of complex numbers {a n } ∞ n=1 and an arbitrary nonzero sequence of complex numbers {r n } ∞ n=1 , we study the expansion of the Taylor series 1 + ∞ n=1 a n x n into infinite products of the form ∞ n=1 …