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Matematicheskie Zametki, 2014, Volume 96, Issue 3, Pages 418–431
DOI: https://doi.org/10.4213/mzm9685 (Mi mzm9685) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Canonical Functions of Admissible Measures in the Half-Plane

K. G. Malyutina, I. I. Kozlovaa, N. Sadikb

a Sumy State University
b İstanbul University, Turkey
Full-text PDF (522 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm9685
Abstract: For a $\gamma$-admissible measure $\lambda$ in the upper half-plane, we introduce the notion of canonical function, generalizing the canonical Nevanlinna product for analytic functions of finite order in the half-plane. It is shown that, for any growth function $\gamma$ defined by the Boutroux proximate order, the given definition and the canonical Nevanlinna product coincide.
Keywords: $\gamma$-admissible measure, $\gamma$-weighted measure, canonical Nevanlinna product, subharmonic function, growth function, Boutroux proximate order, Valiron proximate order, Fourier coefficients of a measure.
Received: 29.03.2012
Revised: 22.10.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 3, Pages 391–402
DOI: https://doi.org/10.1134/S0001434614090119
Bibliographic databases:
Document Type: Article
UDC: 517.574
Language: Russian
Citation: K. G. Malyutin, I. I. Kozlova, N. Sadik, “Canonical Functions of Admissible Measures in the Half-Plane”, Mat. Zametki, 96:3 (2014), 418–431; Math. Notes, 96:3 (2014), 391–402
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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