Polar Loci

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On the polar derivative of a polynomial

For a polynomial p(z) of degree n, having all zeros in |z|< k, k< 1, Dewan et al [K. K. Dewan, N. Singh and A. Mir, Extension of some polynomial inequalities to the polar derivative, J. Math. Anal. Appl. 352 (2009) 807-815] obtained inequality between the polar derivative of p(z) and maximum modulus of p(z). In this paper we improve and extend the above inequality. Our result generalizes certai...

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ژورنال

عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society

سال: 1904

ISSN: 0013-0915,1464-3839

DOI: 10.1017/s001309150003306x