Annular Functions and Gap Series |
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| Authors: | Hwang, J. S. Campbell, D. M. |
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| Affiliation: | Institute of Mathematics Academia Sinica Taipei, Taiwan
Mathematics Department, Brigham Young University Provo, UT 84602, U.S.A. |
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| Abstract: | If f(z) =  ckznk, where nk+1/nk  q > 1, and f(z) is analyticin |z| < 1, the f(z) is an annular function if and only ifsup |ck| =  . This answers a question posed by L. R. Sons andD.M. Campbell simplifies the proofs of many known examples ofannular functions. Present address: Dept. of Mathematical Sciences, McMaster University,Hamilton, Ontario, Canada L8S4K1 |
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