Strongly annular functions with small coefficients, and related results
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- by D. D. Bonar, F. W. Carroll and Paul Erdős PDF
- Proc. Amer. Math. Soc. 67 (1977), 129-132 Request permission
Abstract:
A technique of Bagemihl and Seidel is applied to two problems in annular functions. It is shown that there exists a strongly annular function with Maclaurin coefficients tending to zero, and that there exist annular functions that are far from being strongly annular.References
- F. Bagemihl and W. Seidel, Some boundary properties of analytic functions, Math. Z. 61 (1954), 186–199. MR 65643, DOI 10.1007/BF01181342
- D. D. Bonar, On annular functions, Mathematische Forschungsberichte, Band XXIV, VEB Deutscher Verlag der Wissenschaften, Berlin, 1971. MR 0450560
- D. D. Bonar and F. W. Carroll, Not every annular function is strongly annular, J. Reine Angew. Math. 273 (1975), 57–60. MR 364640, DOI 10.1515/crll.1975.273.57
- J. E. Littlewood, Lectures on the Theory of Functions, Oxford University Press, 1944. MR 0012121
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 67 (1977), 129-132
- MSC: Primary 30A72
- DOI: https://doi.org/10.1090/S0002-9939-1977-0457727-2
- MathSciNet review: 0457727