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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 4, Pages 944–954 (Mi smj2137)  
Asymptotic estimates for the canonical products with zeros of a particular form

A. A. Yukhimenko

Lomonosov State University, Moscow, Russia
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Abstract: We obtain sharp asymptotic estimates on the whole complex plane for the canonical products with zeros of the form $\lambda_n=-n^\alpha l(n)$, where $\alpha>0$ and $l(t)$ is a slowly varying function.
Keywords: canonical product, asymptotic estimate, slowly varying function.
Received: 14.05.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 4, Pages 755–764
DOI: https://doi.org/10.1007/s11202-010-0076-6
Bibliographic databases:
Document Type: Article
UDC: 517.547.2
Language: Russian
Citation: A. A. Yukhimenko, “Asymptotic estimates for the canonical products with zeros of a particular form”, Sibirsk. Mat. Zh., 51:4 (2010), 944–954; Siberian Math. J., 51:4 (2010), 755–764
Citation in format AMSBIB
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