Yurkiv M. Holomorphic in the half-plane functions of improved regular growth

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U003700

Thesis Registration Form

0411U003700.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

19-05-2011

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

In the dissertation a new concept of a holomorphic in the half-plane function of improved regular growth are introduced. We found a criterion for this regularity in the case when the zeros are located on a finite system of rays. New asymptotic estimates for the Fourier coefficients of holomorphic in the half-plane functions are obtained. New asymptotic relations for the integrals, which contains boundary values of holomorphic in the half-plane functions, are established. Asymptotic behavior for function holomorphic in the half - plane with order less than one are investigated.

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Files

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