Some Results on the Polar Derivative of a Polynomial
Let P（z） be a polynomial of degree n and for any complex number α, let DαP（z） = nP（z）＋ （α-z）P＇ （z） denote the polar derivative of P（z） with respect to α. In this paper, we obtain certain inequalities for the polar derivative of a polynomial with restricted zeros. Our results generalize and sharpen s...
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| Veröffentlicht in: | Analysis in theory & applications 2014, Vol.30 (3), p.306-317 |
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| Format: | Artikel |
| Sprache: | chi ; eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let P（z） be a polynomial of degree n and for any complex number α, let DαP（z） = nP（z）＋ （α-z）P＇ （z） denote the polar derivative of P（z） with respect to α. In this paper, we obtain certain inequalities for the polar derivative of a polynomial with restricted zeros. Our results generalize and sharpen some well-known polynomial inequalities. |
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| ISSN: | 1672-4070 1573-8175 |
| DOI: | 10.4208/ata.2014.v30.n3.7 |