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Alexandre Eremenko
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Such $f$ exists on anyevery open Riemann surface:

R.C. Gunning and R. Narasimhan. Immersion of open Riemann surfaces. Math. Ann., 174:103–108, 1967.

Such $f$ exists on any open Riemann surface:

R.C. Gunning and R. Narasimhan. Immersion of open Riemann surfaces. Math. Ann., 174:103–108, 1967.

Such $f$ exists on every open Riemann surface:

R.C. Gunning and R. Narasimhan. Immersion of open Riemann surfaces. Math. Ann., 174:103–108, 1967.

Source Link
Alexandre Eremenko
  • 91.8k
  • 9
  • 260
  • 431

Such $f$ exists on any open Riemann surface:

R.C. Gunning and R. Narasimhan. Immersion of open Riemann surfaces. Math. Ann., 174:103–108, 1967.