Abstract
Given a compact Riemann surface X and a point x 0∈X, we construct a holomorphic function without critical points on the punctured Riemann surface R=X\{x 0} which is of finite order at x 0.
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Communicated by Bo Berndtsson.
The research of the first named author was supported by grants P1-0291 and J1-2152 from ARRS, Republic of Slovenia.
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Forstnerič, F., Ohsawa, T. Gunning–Narasimhan’s Theorem with a Growth Condition. J Geom Anal 23, 1078–1084 (2013). https://doi.org/10.1007/s12220-011-9274-0
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DOI: https://doi.org/10.1007/s12220-011-9274-0