RUS  ENG
Full version
JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2016 Number 12, Pages 76–81 (Mi ivm9188)

This article is cited in 9 papers

The linear conjugation problem for bianalytic functions

A. P. Soldatov, Tran Quang Vuong

Belgorod State University, 14 Studencheskaya str., Belgorod, 308007 Russia

Abstract: We consider a classical problem of linear conjugation for bianalytic functions on smooth contour. We obtain explicit formula of a solution to a problem and describe necessary and sufficient conditions of its solvability.

Keywords: problem of linear conjugation, bianalytic function, canonical function, Cauchy index.

UDC: 517.944

Received: 25.04.2015


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:12, 62–66

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025