Abstract
We establish conditions on an increasing sequence (np) of nonnegative integers that guarantee that a functionf analytic in the unit disk {z ∶ ¦z¦< 1} can be analytically continued to a disk of larger radius provided all of its derivatives\(f^{(n_p )} \) are univalent in the disk.
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Literature cited
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Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 58–65.
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Sheremeta, M.M. On analytic functions in the unit disk with univalent derivatives. J Math Sci 96, 2988–2994 (1999). https://doi.org/10.1007/BF02169693
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DOI: https://doi.org/10.1007/BF02169693