On Extremal Properties of the Derivatives of Polynomials and Rational Functions
Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 121-131
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Let p(z) be a polynomial of degree n, i. e. a finite sum of the form where cν are any given numbers and z=x+iy is a complex variable. To answer a question raised by the chemist Mendelieff, A. Markoff [3] proved the following theorem.
Malik, M.A. On Extremal Properties of the Derivatives of Polynomials and Rational Functions. Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 121-131. doi: 10.4153/CMB-1964-014-4
@article{10_4153_CMB_1964_014_4,
author = {Malik, M.A.},
title = {On {Extremal} {Properties} of the {Derivatives} of {Polynomials} and {Rational} {Functions}},
journal = {Canadian mathematical bulletin},
pages = {121--131},
year = {1964},
volume = {7},
number = {1},
doi = {10.4153/CMB-1964-014-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-014-4/}
}
TY - JOUR AU - Malik, M.A. TI - On Extremal Properties of the Derivatives of Polynomials and Rational Functions JO - Canadian mathematical bulletin PY - 1964 SP - 121 EP - 131 VL - 7 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-014-4/ DO - 10.4153/CMB-1964-014-4 ID - 10_4153_CMB_1964_014_4 ER -
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