| On the Zeros of a Special Class of Polynomials |
| Received:February 11, 2024 Revised:March 12, 2024 |
| Key Words:
bound coefficient polynomial zeros
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| Fund Project: |
| Author Name | Affiliation | | Mahnaz Shafi CHISHTI | School of Basic and Applied Sciences, Shobhit Institute of Engineering and Technology (Deemed to be University), Meerut, U. P. 250110, India | | Vipin Kumar TYAGI | School of Basic and Applied Sciences, Shobhit Institute of Engineering and Technology (Deemed to be University), Meerut, U. P. 250110, India | | Mohammad Ibrahim MIR | Department of Mathematics, University of Kashmir, South Campus, Anantnag, Jammu and Kashmir, 192101, India |
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| Abstract: |
| Let $P$ be a complex polynomial of the form $P(z)=(\lambda z-a)^m\prod_{j=1}^{{n-m}}(z-z_j)$, where $|z_j|\geq 1,\;1\leq j \leq {n-m}$. The aim of this paper is to obtain generalisation of a result due to Zargar and Manzoor and a result due to Mir, Nazir and Wani. We shall also obtain an interesting bound which contains the zeros of the second derivative of $P(z)$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2024.04.005 |
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