Abstract
Let P(z) be a polynomial of degree n having all its zeros in |z| ≤ k, k ≥ 1. In this paper, we shall generalize a result of Dewan et al. [3] to the polar derivative of a polynomial which in turn provides an improvement of a recent result of Dewan et al. [4]. Also a refinement of a result of Shah [11] for the polar derivative of a polynomial has been obtained by using the location of the zeros of P(z), which among other results yields compact generalizations of many other known results.
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Submitted by F.G. Avkhadiev
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Mir, A., Baba, S.A. Inequalities concerning to polar derivative of polynomials. Lobachevskii J Math 32, 114–119 (2011). https://doi.org/10.1134/S1995080211020119
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DOI: https://doi.org/10.1134/S1995080211020119