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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1986 Volume 50, Issue 4, Pages 835–848 (Mi im1537)

This article is cited in 1 paper

Contour-solid results for holomorphic functions

P. M. Tamrazov


Abstract: Both local and global contour-solid theorems for holomorphic functions of a complex variable are presented, with proofs, under essentially weakened restrictions on the functions, for arbitrary bilogarithmically concave (in a generalized sense) majorants, in arbitrary open sets.
Some properties of subharmonic functions that are used to prove the contour-solid results are also established.
Bibliography: 16 titles.

UDC: 517.5

MSC: 30C80

Received: 10.05.1984
Revised: 17.06.1985


 English version:
Mathematics of the USSR-Izvestiya, 1987, 29:1, 193–205

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© Steklov Math. Inst. of RAS, 2026