Applications of geometric function theory to some inequalities for algebraic polynomials and rational functions normalized on circular arcs are considered. In particular, coefficients estimates and also covering and distortion theorems are proved. The latter theorems supplement recent results of the author and V. N. Dubinin.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 418, 2013, pp. 105–120.
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Kalmykov, S.I. On Polynomials and Rational Functions Normalized on Circular Arcs. J Math Sci 200, 577–585 (2014). https://doi.org/10.1007/s10958-014-1946-4
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DOI: https://doi.org/10.1007/s10958-014-1946-4