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On some inequalities concerning the polar derivative of a polynomial. (English) Zbl 1325.30005

Summary: In this paper we establish some inequalities concerning to polar derivative of polynomial having all its zeros inside or outside a unit circle and thereby present some compact generalizations of certain well-known polynomial inequalities.

MSC:

30C10 Polynomials and rational functions of one complex variable
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
30A05 Monogenic and polygenic functions of one complex variable
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