Kolyasa L. Properties of the logarithmic derivative of analytic and subharmonic functions and their applications.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U003946

Thesis Registration Form

0410U003946.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

17-06-2010

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

New properties of the logarithmic derivative of subharmonic and meromorphic with a logarithmic singularity functions are obtained. We establish connection between properties of algebroid (meromorphic with a logarithmic singularity) coefficients of linear differential equation of n-th order and the growth's rate of algebroid (meromorphic with a logarithmic singularity) solutions of this equation. Estimates of the order of growth for the meromorphic with a logarithmic singularity vector-solutions for systems of differential equations have been obtained.

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Files

Dis.pdf

aref.pdf

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