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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm9685https://doi.org/10.4213/mzm9685 https://www.mathnet.ru/eng/mzm/v96/i3/p418
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