Growth of polynomials not vanishing in a disk

Khangembam Babina Devi, Maisnam Triveni Devi, N. Reingachan, Barchand Chanam

Abstract


This paper deals with the problem of finding some upper bound estimates for the maximal modulus of a lacunary polynomial on a disk of radius R, R≥1 under the assumption that the polynomial does not vanish in another disk with radius k, k≥1. Our results sharpen as well as generalize a result recently proved by Hussain [Indian J. Pure Appl. Math., (https://doi.org/10.1007/s13226-021-00169-7)]. Further, these results generalize as well as sharpen some known results in this direction.

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Published: 2021-11-24

How to Cite this Article:

Khangembam Babina Devi, Maisnam Triveni Devi, N. Reingachan, Barchand Chanam, Growth of polynomials not vanishing in a disk, J. Math. Comput. Sci., 12 (2022), Article ID 17

Copyright © 2022 Khangembam Babina Devi, Maisnam Triveni Devi, N. Reingachan, Barchand Chanam. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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