Geodesic
On Meromorphic Continuation in a Fixed Direction
Matematičeskie zametki, Tome 86 (2009) no. 3, pp. 323-327.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: meromorphic function, meromorphic continuation, analytic function, subharmonic function, plurisubharmonic function, radius of meromorphy
Mots-clés : Hadamard determinant. 
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A. A. Atamuratov. On Meromorphic Continuation in a Fixed Direction. Matematičeskie zametki, Tome 86 (2009) no. 3, pp. 323-327. http://geodesic.mathdoc.fr/item/MZM_2009_86_3_a0/

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