Abstract
Let P(z) be a complex polynomial of degree n of lacunary type having zeros in |z| < 1, and 1 ≤ r < R. In this paper, we shall estimate a new type of bound in more generalized form for \(\mathop {\max }\limits_{|z| = 1} |P'(z)|\) in terms of \(\mathop {\max }\limits_{|z| = Rr} |P(z)|\) and \(\mathop {\max }\limits_{|z| = R^2 } |P(z)|\).
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Prasanna Kumar, N. On an inequality involving the complex polynomial and its derivative. Lobachevskii J Math 36, 154–159 (2015). https://doi.org/10.1134/S1995080215020110
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DOI: https://doi.org/10.1134/S1995080215020110