Mulyava O. The convergence classes in the theory of Dirichlet series and of analytic functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U000645

Thesis Registration Form

0400U000645.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

24-02-2000

Specialized Academic Board

Д35.051.07

Essay

The Dirichlet series with nonnegative exponents are investigated. The condition on coefficients, under which Valiron formula for the find of the convergence abscissa holds, is found. The sharp estimates of maximum modulus by maximal term are obtained. In the terms of known convergence classes and of introducing in the dissertation generalized convergence classes the connection between the growth of maximum modulus and the behavior of the coefficients is shown.

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