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Obviously (1. 6) is a notation only and contains no restrictions, in contrary to (1. 2).
For a detailed exposition see the forthcoming book of the second-named author entitledÜber eine neue Methode der Analysis und ihre Anwendungen.
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Rényi, A., Turán, P. On the zeros of polynomials. Acta Mathematica Academiae Scientiarum Hungaricae 3, 275–284 (1952). https://doi.org/10.1007/BF02027826
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DOI: https://doi.org/10.1007/BF02027826