Results 131 to 140 of about 43,507 (166)

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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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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Inequalities for the Polar Derivative of a Polynomial

Complex Analysis and Operator Theory, 2010
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Liman, A., Mohapatra, R. N., Shah, W. M.
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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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Taylor Polynomial Approximations in Polar Coordinates

The College Mathematics Journal, 1993
(1993). Taylor Polynomial Approximations in Polar Coordinates. The College Mathematics Journal: Vol. 24, No. 4, pp. 325-330.
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Inequalities concerning to polar derivative of polynomials

Lobachevskii Journal of Mathematics, 2011
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Mir, Abdullah, Baba, Sajad Amin
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Integral inequalities concerning polynomials with polar derivatives

Creative Mathematics and Informatics, 2016
Let P(z) be a polynomial of degree n and for any complex number α, let DαP(z) = nP(z) + (α − z)P 0 (z) denote the polar derivative of P(z) with respect to a complex number α. In this paper, we present an integral inequality for the polar derivative of a polynomial P(z).
ABDULLAH MIR, SHAHISTA BASHIR
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Waveguide septum polarizer shaped with Legendre polynomials

2017 11th European Conference on Antennas and Propagation (EUCAP), 2017
This paper presents the design and performance of a waveguide septum polarizer where the longitudinal profile of the septum blade is shaped with Legendre polynomials. A performance comparison with a conventional septum polarizer based on a blade with a stepped profile is performed at Ka-band (27.5–30.0 GHz) to show the merit of the proposed profile ...
Jean-Christophe Angevain, Nelson J. G. Fonseca   +1 more
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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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Bernstein-Type Inequalities Involving Polar Derivative of a Polynomial

Lobachevskii Journal of Mathematics, 2021
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