Abstract
If the sequence of coefficients of a random power series has a degenerate tail field, then either its circle of convergence is a natural boundary, or this situation can be achieved by subtracting a fixed series. This generalises the known result for independent coefficient sequences.
Citation
P. Holgate. "The Natural Boundary Problem for Random Power Series with Degenerate Tail Fields." Ann. Probab. 11 (3) 814 - 816, August, 1983. https://doi.org/10.1214/aop/1176993530
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