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Rate of decay of weakly lacunary series. / Chirikov, A. M.; Shirokov, N. A.

In: Vestnik St. Petersburg University: Mathematics, Vol. 42, No. 4, 01.12.2009, p. 299-303.

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Harvard

Chirikov, AM & Shirokov, NA 2009, 'Rate of decay of weakly lacunary series', Vestnik St. Petersburg University: Mathematics, vol. 42, no. 4, pp. 299-303. https://doi.org/10.3103/S1063454109040086

APA

Chirikov, A. M., & Shirokov, N. A. (2009). Rate of decay of weakly lacunary series. Vestnik St. Petersburg University: Mathematics, 42(4), 299-303. https://doi.org/10.3103/S1063454109040086

Vancouver

Chirikov AM, Shirokov NA. Rate of decay of weakly lacunary series. Vestnik St. Petersburg University: Mathematics. 2009 Dec 1;42(4):299-303. https://doi.org/10.3103/S1063454109040086

Author

Chirikov, A. M. ; Shirokov, N. A. / Rate of decay of weakly lacunary series. In: Vestnik St. Petersburg University: Mathematics. 2009 ; Vol. 42, No. 4. pp. 299-303.

BibTeX

@article{fd6025f6af114d4db3d3fa586a4d1e1d,
title = "Rate of decay of weakly lacunary series",
abstract = "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).",
author = "Chirikov, {A. M.} and Shirokov, {N. A.}",
year = "2009",
month = dec,
day = "1",
doi = "10.3103/S1063454109040086",
language = "English",
volume = "42",
pages = "299--303",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "4",

}

RIS

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