J. D. McCall, G. H. Fricke, W. A. Beyer, "Remainders of power series", International Journal of Mathematics and Mathematical Sciences, vol. 2, Article ID 980820, 12 pages, 1979. https://doi.org/10.1155/S0161171279000223
Remainders of power series
Suppose has radius of convergence and . Suppose , and is either or a neighborhood of . Put . Two questions are asked: (a) can be cofinite? (b) can be infinite? This paper provides some answers to these questions. The answer to (a) is no, even if . The answer to (b) is no, for if . Examples show (b) is possible if and for a neighborhood of .
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