Luhova L. Three-member power asymptotic of entire Dirichlet series

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U003947

Thesis Registration Form

0410U003947.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

10-06-2010

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

The object of the research is the entire Dirichlet series with non-negative indices, increasing to plus infinity. The work is first that: a) Traces in terms of the trinomial power asymptotics the connection between the entire Dirichlet series maximum component increase and its coefficients decrease; b) Traces in terms of the given asymptotics the connection between the entire Dirichlet series sum module maximum increase and its maximum component. The used are the mathematical analysis method and results of M. M. Sheremeta and O. M. Sumyk. The thesis bears theoretical character. Its results will definitely contribute to the Dirichlet series theory and can be used in both general theory of analytic functions.

Read more

Files

Дисертація--1_Титульна.pdf

Дисертація--2_Зміст.pdf

Дисертація--3_Перелік умовних позначень.pdf

Дисертація--4_Вступ.pdf

Дисертація--5_Розділ 1.pdf

Дисертація--6_Розділ 2.pdf

Дисертація--7_Розділ 3.pdf

Дисертація--8_Загальні висновки.pdf

Дисертація--9_Список використаних джерел.pdf

автореферат.pdf

Similar theses

0524U000127

Andrii O. Kuryliak

Asymptotic properties and value distribution of random analytic functions.

0821U101801

Petrova Iryna Leonidivna

"Interpolatory estimates for comonotone approximation

0421U102744

Volkov Sergiy V

To the theory of boundary behavior of mappings on Riemann surfaces

0421U102723

Petkov Ihor Vasylovich

The boundary behavior of solutions and the Dirichlet problem for the Beltrami equations

0421U102684

Holubchak Oleh Mykhailovych

Operators on Hilbert spaces of symmetric analytic functions on a Banach space with a symmetric structure.