Growth estimates of a polynomial not vanishing in a disk

Imtiaz Hussain ()
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Imtiaz Hussain: National Institute of Technology

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 3, 750-759

Abstract: Abstract This paper deals with the problem of finding some upper bound estimates for the maximal modulus of a lucunary polynomial on a disk of radius $$R, R\ge 1$$ R , R ≥ 1 under the assumption that the polynomial does not vanish in another disk with radius $$k, k\ge 1$$ k , k ≥ 1 . The obtained results generalize as well as sharpen some already known estimates due to [2–5].

Keywords: Polynomial; Maximum modulus; Zeros; 30A10; 30C10; 30C15 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00169-7

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