Direct analogues of Wiman's inequality for analytic functions in the unit disc
| Autor: | O. B. Skaskiv, A. O. Kuryliak |
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| Jazyk: | English<br />Ukrainian |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Karpatsʹkì Matematičnì Publìkacìï, Vol 2, Iss 1, Pp 109-118 (2013) |
| Druh dokumentu: | article |
| ISSN: | 2075-9827 2313-0210 |
| DOI: | 10.15330/cmp.2.1.109-118 |
| Popis: | Let $f(z)=\sum_{n=0}^{\infty} a_n z^n$ be an analytic function on $\{z:|z|$$\beta_{fh}=\liminf\limits_{r\to1}\frac{\ln\ln\Omega_f(r)}{\ln h(r)}=+\infty,$$then Wiman's inequality $M_f(r)\leq \mu_f(r) \ln^{1/2+\delta}\mu_f(r)$ is true for all $r\in (r_0, 1)\backslash E(\delta)$, where $h-\mbox{meas}\ E |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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