Open Problems on the Description of Zero-Free Functions of Regular Growth and Asymptotic Representations of Subharmonic Functions
Author
M. Ghirnyk
Abstract
  • Problem 1
    The problem is to describe functions of regular growth in $\Bbb D$ (i.e. $\rho[f]=\lambda[f]$) without zeroes. An integral representation given by M.M. Dzhrbashyan in [2] may be useful for this purpose.
  • Problem 2
    This problem is of interest for the so called integral asymptotic representation of a subharmonic function.
    • Keywords
    function of regular growth, integral asymptotic representation, subharmonic function, unit disc, analytic function
    DOI
    doi:10.30970/ms.5.1.123-123
    Reference
    1. Гольдберг А.А., Островский И.В. Распределение значений ме­ро­морф­ных функ­ций. – М.:Наука, 1970. 592с.

    2. Джрбашян М.М. Интегральные преобразования и представления функций в комплексной области. – М.:Наука, 1966, 671с.
    Pages
    123-123
    Volume
    5
    Issue
    1
    Year
    1995
    Journal
    Matematychni Studii
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