Chyzhykov I. Approximation of subharmonic functions by analytic ones and asymptotic properties of meromorphic functions in a disc

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0508U000662

Thesis Registration Form

0508U000662.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

28-11-2008

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

We prove unimprovable results on approximation of subharmonic functions by the logarithms of moduli of analytic ones. We decribe classes of analytic and harmonic functions in the unit disc with given orders of the growth. We obtain sharp estimates of logarithmic derivatives of meromorphic functions, which are used for description of the growth of solutions of linear differential equations.

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Files

Dis.pdf

aref.doc

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