| Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Some properties of entire functions with nonnegative Taylor coefficients | Journal: | Mathematical Notes | Volume: | 81 | Issue: | 5-6 | First page: | 681 | Last page: | 685 | Issue Date: | 1-Jun-2007 | Rank: | M23 | ISSN: | 0001-4346 | DOI: | 10.1134/S0001434607050148 | Abstract: | If f is an entire function of arbitrary finite order and with nonnegative Taylor coefficients, then we prove that its restriction to the positive part of the real axis belongs to de Haan's class Γ. We also show that f/f′ is a Beurling slowly varying function. |
Keywords: | Beurling slow variation | De Haan's class Γ | Entire function | Regular variation | Publisher: | Springer Link |
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