Geodesic
On polynomials with constraints on circular arcs
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 26, Tome 392 (2011), pp. 74-83
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For polynomials with prescribed minimal and maximal values of their moduli on a collection of circular arcs it is shown that new covering and distortion theorems and a modulus estimates for a product of leading and free coefficients follow from a majorization principle for meromorphic functions proved by the authors earlier. As corollaries, recent results on polynomials with additional constraints on zeros established by other mathematicians are obtained. 
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V. N. Dubinin; S. I. Kalmukov. On polynomials with constraints on circular arcs. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 26, Tome 392 (2011), pp. 74-83. http://geodesic.mathdoc.fr/item/ZNSL_2011_392_a3/

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