Geodesic
A local condition of single-valuedness of analytic functions
Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 151-167 
A. A. Gonchar. A local condition of single-valuedness of analytic functions. Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 151-167. http://geodesic.mathdoc.fr/item/SM_1972_18_1_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper a local condition of single-valuedness of an analytic function in its natural domain of existence is obtained. The condition is formulated in terms of rational approximations. Bibliography: 9 titles.

[1] Dzh. L. Uolsh, Interpolyatsiya i approksimatsiya ratsionalnymi funktsiyami v kompleksnoi oblasti, IL, Moskva, 1961

[2] H. Cartan, “Sur les systemes des fonctions holomorphes a varietes lineaires et leurs applications”, Ann. Ecol. Norm. Super, 3 (1928), 255–346 | MR | Zbl

[3] B. Ya. Levin, Raspredelenie kornei tselykh funktsii, Gostekhizdat, Moskva, 1956

[4] G. M. Goluzin, Geometricheskaya teoriya funktsii kompleksnogo peremennogo, Nauka, Moskva, 1966 | MR

[5] A. A. Gonchar, “O zadachakh E. I. Zolotareva, svyazannykh s ratsionalnymi funktsiyami”, Matem. sb., 78(120) (1969), 640–654 | Zbl

[6] L. Biberbakh, Analiticheskoe prodolzhenie, Nauka, Moskva, 1967 | MR

[7] A. A. Gonchar, “Skorost priblizheniya ratsionalnymi drobyami i svoistva funktsii” (Moskva 1966 g.), Trudy mezhdunarodnogo kongressa matematikov, 1968, 329–356, Mir, Moskva | MR

[8] A. A. Gonchar, “Ob obobschennom analiticheskom prodolzhenii”, Matem. sb., 76(118) (1968), 135–146 | Zbl

[9] G. A. Volkov, “O raspolozhenii polyusov ratsionalnykh funktsii nailuchshego priblizheniya”, Matem. zametki, 7:3 (1970), 289–293 | MR | Zbl