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18 p, 184.1 KB Meromorphic extendibility and the argument principle / Globevnik, Josip (University of Ljubljana. Institute of Mathematics, Physics and Mechanics)
Let ∆ be the open unit disc in C. Given a continuous function ϕ: b∆ → C\{0} denote by W(ϕ) the winding number of ϕ around the origin. We prove that a continuous function f : b∆ → C extends meromorphically through ∆ if and only if there is a number N ∈ N ∪ {0} such that W(Pf + Q) ≥ −N for every pair P, Q of polynomials such that Pf + Q 6= 0 on b∆. [...]
2008 - 10.5565/PUBLMAT_52108_08
Publicacions matemàtiques, V. 52 n. 1 (2008) p. 171-188  

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1 Globevnik, J.
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