Results 211 to 220 of about 3,514 (240)

On the zeros of the polar derivative of a polynomial

The Journal of Analysis, 2021
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M. H. Gulzar, B. A. Zargar, S. A. Malik
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On the polar derivative of a constrained polynomial

The Journal of Analysis, 2022
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Mir, Abdullah, Gupkari, Sameer Ahmad
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Inequalities Concerning the Polar Derivative of a Polynomial

Bulletin of the Malaysian Mathematical Sciences Society, 2015
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Gulzar, Suhail, Rather, N. A.
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Inequalities for the polar derivative of a polynomial

Journal of Interdisciplinary Mathematics, 2007
Polynomials, 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).
K. K. Dewan, Abdullah Mir
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Polarization, Polynomials, and War

Journal of Conflict Resolution, 1993
Michael Wallace reports a very pronounced curvilinear relationship between a new measure of the polarization of the state system and warfare during 1815-1964. He suggests considerable caution when interpreting the results and urges replication. This is a replication.
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Extremal Problems for a Polynomial and Its Polar Derivative

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2023
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Loci of complex polynomials, part II: polar derivatives

Mathematical Proceedings of the Cambridge Philosophical Society, 2015
AbstractFor every complex polynomialp(z), closed point sets are defined, calledlociofp(z). A closed set Ω ⊆${\mathbb C}$* is a locus ofp(z) if it contains a zero of any of its apolar polynomials and is the smallest such set with respect to inclusion. Using the notion locus, some classical theorems in the geometry of polynomials can be refined.
Sendov, Blagovest, Sendov, Hristo
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NEW REGION FOR ZEROS OF A POLAR DERIVATIVE OF POLYNOMIAL

jnanabha
Let P(z) := Pn j=0 aj z j be a polynomial of degree n. Then by Cauchy’s Classical result, all zeros of P(z) lie in |z| ≤ 1 + max 0≤j≤n−1 | aj an | . In this paper, we shall extend such results to polar derivative of an algebraic polynomial.
Mohammad, R., Purohit, Mridula, Liman, Ab   +2 more
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Inequalities of Turán Type for the Polar Derivative of a Polynomial

Siberian Mathematical Journal
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Mir, A., Bhat, A. H., Thoker, W. A.
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NUMBER OF ZEROS OF POLAR DERIVATIVES OF POLYNOMIALS

JP Journal of Fixed Point Theory and Applications, 2020
Ramulu, P., Reddy, G. L.
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