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This article is cited in 7 scientific papers (total in 7 papers)
A property of entire functions with real taylor coefficients
M. N. Sheremeta Drogobych Pedagogical Institute
Abstract:
Suppose that $f(z)$ is an entire transcendental function with real Taylor coefficients, $M(r)=max|f(z)|$ on $|z|=r$, and $\{\lambda_n\}$ is the sequence of sign changes of the coefficients. We will show that if $\sum(1/\lambda_n)<\infty$, then $\overline{\lim\limits_{r\to\infty}}\ln\cdot|f(r)|/\ln M(r)=1$.
Received: 01.04.1974
Citation:
M. N. Sheremeta, “A property of entire functions with real taylor coefficients”, Mat. Zametki, 18:3 (1975), 395–402; Math. Notes, 18:3 (1975), 823–827
Linking options:
https://www.mathnet.ru/eng/mzm7667 https://www.mathnet.ru/eng/mzm/v18/i3/p395
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Abstract page: | 182 | Full-text PDF : | 81 | First page: | 1 |
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