Kshanovskyy I. Properties of meromorphic functions in double-connected domains

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U000866

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

12-02-2009

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

In this thesis an analog of Poisson-Jensen theorem for meromorphic functions on annuli, invariant with respect to inversion, is obtained. We introduce an analog of Nevanlinna characteristic for meromorphic functions in punctured disk. The number of extremal problems for meromorphic functions in a punctured plane are solved. A criterion of lambda type finiteness of analytic functions in a punctured plane is obtained

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