Volokh O. Gelfond-Leont'ev derivatives and formal power series.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U004684

Thesis Registration Form

0408U004684.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

23-10-2008

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

Necessary and sufficient conditions are obtained on Gelfond-Leont'ev derivatives of formal power series for which these power series converge in some disc. Theorems of Shah and Sheremeta on entire functions with univalent in the unit disc derivatives are generalized for the case of mean p-valent derivatives. The results known before about radii of univalence of successive Gelfond-Leont'ev derivatives are specified and generalized. For entire and analytic in the unit disc functions the behaviour of maximal terms is investigated.

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Files

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