A new proof of Laguerre's theorem about the zeros of polynomials

DOI10.1017/S0004972700002951zbMath0575.30006MaRDI QIDQ3695540

Abdul Aziz

Publication date: 1986

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

polar derivativeLaguerre's theorem

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Related Items (8)

On self-reciprocal polynomials ⋮ A generalized inequality for the polar derivative of a polynomial ⋮ Refinements of some inequalities concerning the polar derivative of a polynomial ⋮ Inequalities for the polar derivative of a polynomial ⋮ On the zeros of a class of generalized derivatives ⋮ Inequalities for the derivative of a polynomial ⋮ Some inequalities for the polar derivative of a polynomial ⋮ Higher-order, polar and Sz.-Nagy's generalized derivatives of random polynomials with independent and identically distributed zeros on the unit circle

Cites Work

• Recent Applications of Some Old Work of Laguerre

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