Abstract
Multisummability is a technique of assigning a sum to certain formal power series with zero radius of convergence. In this paper, those functions that occur as such sums are characterized. Furthermore, this result is applied in proving multisummability of iterated integrals; these are integrals which frequently occur, e.g., in proofs of the basic Asymptotic Existence Theorem for linear and nonlinear meromorphic differential equations.
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