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Rate of decay of weakly lacunary series. / Chirikov, A. M.; Shirokov, N. A.
в: Vestnik St. Petersburg University: Mathematics, Том 42, № 4, 01.12.2009, стр. 299-303.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Rate of decay of weakly lacunary series
AU - Chirikov, A. M.
AU - Shirokov, N. A.
PY - 2009/12/1
Y1 - 2009/12/1
N2 - Let function f(z) ≠ 0 be analytic in the unit disk and have sparse nonzero Taylor coefficients. Then the rate of decay of the function f as x → 1 - 0 depends on the rate of sparseness of its nonzero Taylor coefficients. In this paper, we consider the case f(z) =, where n k > A 0(k + 2) plogb(k + 2).
AB - Let function f(z) ≠ 0 be analytic in the unit disk and have sparse nonzero Taylor coefficients. Then the rate of decay of the function f as x → 1 - 0 depends on the rate of sparseness of its nonzero Taylor coefficients. In this paper, we consider the case f(z) =, where n k > A 0(k + 2) plogb(k + 2).
UR - http://www.scopus.com/inward/record.url?scp=84859698595&partnerID=8YFLogxK
U2 - 10.3103/S1063454109040086
DO - 10.3103/S1063454109040086
M3 - Article
AN - SCOPUS:84859698595
VL - 42
SP - 299
EP - 303
JO - Vestnik St. Petersburg University: Mathematics
JF - Vestnik St. Petersburg University: Mathematics
SN - 1063-4541
IS - 4
ER -
ID: 48397849