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- W3189600677 abstract "Liman, Mohopatra and Shah proved that if p(z) is a polynomial of degree n having no zeros in |z| < 1, then for all α,β ∈ C with |α| ≥ 1, |β| ≤ 1 and |z| = 1, where Dαp(z) = np(z) + (α − z)p’(z) is the polar derivative of p(z) with respect to the point α. We extend and generalize this inequality for the polynomial p(z) which does not vanish in |z| < k, k ≤ 1. Our result also generalizes other known inequalities as well." @default.
- W3189600677 created "2021-08-16" @default.
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- W3189600677 date "2021-09-08" @default.
- W3189600677 modified "2023-10-06" @default.
- W3189600677 title "On an upper bound for the polar derivative of a polynomial" @default.
- W3189600677 doi "https://doi.org/10.28919/10.28919/jmcs/6162" @default.
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