Growth of polynomials having no zero inside a circle. (English) Zbl 07828000
Sharma, Rajesh Kumar (ed.) et al., Frontiers in industrial and applied mathematics. Selected papers based on the presentations at the 4th international conference, FIAM-2021, Punjab, India, December 21–22, 2021. Singapore: Springer. Springer Proc. Math. Stat. 410, 463-479 (2023).
Summary: In this manuscript, an upper bound estimate for the maximum modulus of a general class of polynomials with restricted zeros on a circle \(|z|=L\), \(L\ge 1\), is obtained in terms of the maximum modulus of the same polynomials on \(|z|=1\). It is observed that a result of Hussain [J. Pure Appl. Math., (2021) (doi:10.1007/s13226-021-00169-7)] is sharpened by our result. Also, this result generalizes and sharpens some other previously proved result.
For the entire collection see [Zbl 1524.76004].
For the entire collection see [Zbl 1524.76004].
MSC:
| 76-XX | Fluid mechanics |
References:
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