Browsing by Author "Ostrovskii, Iossif Vladimirovich"
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Item Open Access Les séries de puissances dont les restes ont seulement des zéros non-positifs(Elsevier Masson, 1997) Ostrovskii, Iossif VladimirovichIf for all sufficiently large n the nth tail of the power series of an entire function f has only real nonpositive zeroes, then log M(r, f) ≤ 1/2 log 2(log r)2 + O(log r), r → ∞. This bound is close to the best possible.Item Open Access On preservation of symmetry of distribution under multiplication of random variables(Wiley, 1997) Ostrovskii, Iossif Vladimirovich; Johnson, N. L.; Balakrishnan, N.Item Open Access On the zeros of tails of power series(Springer, 2000) Ostrovskii, Iossif Vladimirovich; Havin, V. P.; Nikolski, N. K.Let f(z)=∑k=0∞akzkf(z)=∑k=0∞akzk (1.1) be a power series with a positive radius of convergence. Let sn(z)=∑k=0nakzk,tn(z)=∑k=n+1∞akzksn(z)=∑k=0nakzk,tn(z)=∑k=n+1∞akzk be its nth section and nth tail, respectively.