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Iterative Computation of the Fréchet Derivative of the Polar Decomposition
SIAM Journal on Matrix Analysis and Applications, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Evan S Gawlik, Melvin Leok
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Inequalities Concerning the Polar Derivative of a Polynomial
Bulletin of the Malaysian Mathematical Sciences Society, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rather N A, N A Rather
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Inequalities for the polar derivative of a polynomial
Journal of Interdisciplinary Mathematics, 2007Polynomials, Inequality, Polar Derivative. Abstract: In this paper we obtain new results concerning maximum modules of the polar derivative of a polynomial with restricted zeros. Our results generalize and refine upon the results of Aziz and Rather (3) and Jagjeet Kaur (9).
Abdullah Mir
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Extensions of some polynomial inequalities to the polar derivative [PDF]
Journal of Mathematical Analysis and Applications, 2009 Let p(z) be a polynomial of degree n and for any real or complex number α, let Dαp(z)=np(z)+(α−z)p′(z) denote the polar derivative of the polynomial p(z) with respect to α.
Abdullah Mir, K K Dewan
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Some Lp Inequalities for the Polar Derivative of a Polynomial [PDF]
Journal of Mathematical Analysis and Applications, 2001 Let pn(z) be a polynomial of degree n and Dα{pn(z)} its polar derivative. It has been proved that if pn (z) has no zeros in |z|
N K Govil, Berhanu Tameru
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New Integral Mean Estimates for the Polar Derivative of a Polynomial [PDF]
Lobachevskii Journal of Mathematics, 2019 Let p(z) be a polynomial of degree n and for α ∈ C, let Dαp(z) := np(z)+(α−z )p0(z) denote the polar derivative of the polynomial p(z) with respect to α.
Qasim, Idrees
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Lγ Inequalities for the Polar Derivative of Polynomials
Malaysian Journal of Mathematical Sciences, 2023In this paper, firstly, we obtain an inequality in Lγ analogue concerning the polar derivative for a polynomial p(ξ) = Xm ν=0 cνξν of degree m having no zero in |ξ| < r, r ≥ 1 proved by Govil et al. [15]. Secondly, we also prove Lγ version for the polar derivative of an ordinary inequality for a polynomial having all its zeros in |ξ| ≤ r, r ≤ 1 ...
Singh, M. S. +3 more
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Inequalities for the Polar Derivative of a Polynomial
Complex Analysis and Operator Theory, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liman, A., Mohapatra, R. N., Shah, W. M.
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The Ansacarbamitocins: Polar Ansamitocin Derivatives
Journal of Natural Products, 2007The ansacarbamitocins are a new family of maytansinoids that are unusually substituted with a glucose subunit and two carbamate functional groups and exhibit modest activity against some agricultural fungal disease organisms. Ansacarbamitocins A-F ( 1- 6) all consist of the same macrocyclic core as the ansamitocins, with variation occurring on the ...
Carl E, Snipes +9 more
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On the zeros of the polar derivative of a polynomial
The Journal of Analysis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. H. Gulzar, B. A. Zargar, S. A. Malik
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