Poyedyntseva I. Asymptotic formulas for integrals

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U003100

Thesis Registration Form

0410U003100.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

16-04-2010

Specialized Academic Board

К64.051.11

Essay

A belonging criterion is obtained for a special class of subharmonic functions. This class is an analog of the class A of entire functions. Tauberian theorems of Keldysh type are proved with Tauberian conditions minimized to almost necessary ones. Asymptotic expansions are investigated for integrals with logarithm in their kernels. Two special integrals are evaluated with the aid of asymptotic expansions.

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