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An improvement and a generalization of Ankeny and Rivlin’s result on the maximum modulus of polynomials
Ngamchui, Reingachan; Laishangbam, Raju; Chanam, Barchand; Thoudam, Ranaranjan (Işık University Press, 2025-07-01)For an arbitrary entire function f(z), let M(f, r) = max|z|=r|f(z)|. By considering the polynomial of degree n having no zero in the interior of the unit circle|z| = 1, Ankeny and Rivlin obtained M(p, R) ≤ Rn + 1/2 M(p, ...