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If p (z) be a polynomial of degree n which does not vanish in the disk |z|1}|p (z) |&ⁿ+12|ₙ|=₁|p (z) |. align*In this paper, we consider a class of lacunary polynomials and present certain generalizations as well as improvements of the above inequalities for the two cases k 1 and k<1. 2000 Mathematics Subject Classification. 30A10, 30C10, 30C15
Dewan et al. (Mon,) studied this question.