On holomorphic continuation of functions defined on a pencil of boundary complex lines
S. A. ImomkulovAl-Kharezmi Urgench State University, Khorezm, Uzbekistan
ABI
Abstract
We study domains of holomorphy of functions having thin singularities along a fixed direction. We prove a boundary analogue of Hartogs' theorem on the holomorphic continuation of functions of several variables that admit holomorphic continuation in one variable.