Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2015; 52(4): 699-725

Printed July 1, 2015

https://doi.org/10.4134/JKMS.2015.52.4.699

Copyright © The Korean Mathematical Society.

On the growth of algebraic polynomials in the whole complex plane

F. G. Abdullayev and N. P. \"{O}zkartepe

Mersin University, Mersin University

Abstract

In this paper, we study the estimation for algebraic polynomials in the bounded and unbounded regions bounded by piecewise Dini smooth curve having interior and exterior zero angles.

Keywords: algebraic polynomials, conformal mapping, Dini smooth curve

MSC numbers: Primary 30A10, 30C10; Secondary 41A17

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