Geodesic
On Zeros of Derivatives of Polynomials
Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 443-445

Voir la notice de l'article provenant de la source Cambridge University Press

In an earlier paper [2], we raised the question of determining the minimum span of the kth derivative of a polynomial with real zeros having a given span. More precisely let πn, s denote the class of polynomials , with x1 ≤ x2 ≤ ... ≤ xn, and the span σ(P) ≡xn - x1 = 2s (fixed). 
Meir, A.; Sharma, A. On Zeros of Derivatives of Polynomials. Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 443-445. doi: 10.4153/CMB-1968-051-x
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[1] 1. Ahmad, M., On polynomials with real zeros. To appear in Canad. Math. Bull. Google Scholar

[2] 2. Meir, A. and Sharma, A., Span of derivatives of polynomials. Amer. Math. Monthly 74 (1967) 527-531. Google Scholar

[3] 3. Meir, A. and Sharma, A., Span of linear combinations of derivatives of polynomials. Duke Math. J. 34 (1967) 123-130. Google Scholar

[4] 4. Robinson, R.M., On the spans of derivatives of polynomials. Amer. Math. Monthly 71 (1964) 504-508. Google Scholar

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