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A version of Fabry's theorem for power series with regularly varying coefficients |
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| Authors: | Alexandre Eremenko |
| Affiliation: | Department of Mathematics, Purdue University, West Lafayette, Indiana 47907 |
| Abstract: | For real power series whose non-zero coefficients satisfy  , we prove a stronger version of Fabry's theorem relating the frequency of sign changes in the coefficients and analytic continuation of the sum of the power series. |
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