Canonical functions of admissible measures in the half-plane |
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Authors: | K. G. Malyutin I. I. Kozlova N. M. Sadik |
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Affiliation: | 1. Sumy State University, Sumy, Ukraine 2. Istanbul University, Istanbul, Turkey
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Abstract: | For a γ-admissible measure λ 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 γ defined by the Boutroux proximate order, the given definition and the canonical Nevanlinna product coincide. |
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