Some sharp upper bound estimates for the maximal modulus of polar derivative of a polynomial

Some sharp upper bound estimates for the maximal modulus of polar derivative of a polynomial

In this paper, we establish some sharp upper bound estimates for the maximal modulus of polar derivative of a complex polynomial on a disk under the assumption that the polynomial has no zeros in another disk. The obtained results sharpen some already known estimates for the ordinary derivative of p...

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Veröffentlicht in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche 2019-11, Vol.65 (2), p.327-336
1. Verfasser: Mir, Abdullah
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Analysis
Estimates
Geometry
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Numerical Analysis
Polynomials
Upper bounds
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Zusammenfassung:In this paper, we establish some sharp upper bound estimates for the maximal modulus of polar derivative of a complex polynomial on a disk under the assumption that the polynomial has no zeros in another disk. The obtained results sharpen some already known estimates for the ordinary derivative of polynomials as special cases.
ISSN:0430-3202
1827-1510
DOI:10.1007/s11565-019-00317-2