Filevych P. Asymptotic properties of analytic and random analytic functions, presented by power series and Dirichlet series

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0507U000657

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

08-11-2007

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

In the thesis necessary and sufficient conditions for fulfilling of the most general asymptotic relations without exceptional sets between characteristics of analytical functions are obtained, new properties of criteria type for random analytical functions are proved, the growth of analytical functions in terms of general orders, types and convergence classes are described, negessary and sufficient conditions of regular variation of main characteristics of analytical functios are obtained.

Files

Similar theses