Publication Date:
1979-01-01
Description:
Suppose∑n=0∞anznhas radius of convergenceRandσN(z)=|∑n=N∞anzn|. Suppose|z1|σN(z) for zϵT}. Two questions are asked: (a) canSbe cofinite? (b) canSbe infinite? This paper provides some answers to these questions. The answer to (a) is no, even ifT=z2. The answer to (b) is no, forT=z2ifliman=a≠0. Examples show (b) is possible ifT=z2and forTa neighborhood ofz2.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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