On meromorphic continuation in a fixed direction

Аннотация

In the present paper, we prove a local boundary version of the well-known Rothstein lemma about the meromorphic continuation with respect to one of the complex variables. The statement is simple, and the proof is based on the well-known Hadamard formulas for the radii of meromorphy, on recent results of Imomkulov about the boundary properties of sequences of plurisubharmonic functions, and on the Rothstein lemma.

Темы

Идентификаторы

DOI

10.1134/s0001434609090016

Цитирования и источники