Computation of the zeros of a quaternionic polynomial using matrix methods
Arab Journal of Basic and Applied SciencesIn a recent paper, Ishfaq Dar (2024), worked on the problem of locating the zeros of quaternion polynomials by introducing various matrix techniques.
N. A. Rather +4 more
doaj +1 more source
Refinements of inequalities on extremal problems of polynomials
Open MathematicsLet H(z) be a polynomial of degree n, and for any complex number α, let D α H(z) = nH(z) + (α − z)H′(z) denote the polar derivative of H(z) with respect to α.
Devi Maisnam Triveni +2 more
doaj +1 more source
Smale's Conjecture on Mean Values of Polynomials and Electrostatics [PDF]
, 2007 2000 Mathematics Subject Classification: Primary 30C10, 30C15, 31B35.A challenging conjecture of Stephen Smale on geometry of polynomials is under discussion. We consider an interpretation which turns out to be an interesting problem on equilibrium of an
Dimitrov, Dimitar
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Crown ethers as stabilising ligands for oxonium ions
, 2008 Oxonium ions (H(+)center dot(H(2)O)(n)) can be stabilised and isolated in the solid state by using crown ethers of differing sizes. Crown ethers can act as very good hydrogen bond acceptors for the binding of oxonium ions.
Junk, Peter C.
core +1 more source
Improved versions of certain Bernstein and Turán-type inequalities on polynomials
Open MathematicsIn this paper, we establish some new results on Bernstein and Turán-type inequalities for polynomials on the unit circle on the complex plane by using an improved Schwarz Lemma at the boundary recently proved by Mercer.
Laishangbam Raju +2 more
doaj +1 more source
A generalization of an inequality of Zygmund
, 1993 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 289-296, 1993.
R. Peretz
wiley +1 more source
Hyperbolic Fourth-R Quadratic Equation and Holomorphic Fourth-R Polynomials [PDF]
, 2012 MSC 2010: 30C10, 32A30, 30G35The algebra R(1; j; j2; j3), j4 = ¡1 of the fourth-R numbers, or in other words the algebra of the double-complex numbers C(1; j) and the corresponding functions, were studied in the papers of S. Dimiev and al. (see [1], [2],
Apostolova, Lilia N.
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Tools and scores for perioperative pulmonary, renal, hepatobiliary, hematological, and surgical site infection risk assessment: an update. [PDF]
Rev Col Bras Cir, 2022 Moraes CMT +4 more
europepmc +1 more source
A New Perspective on Adsorbent Materials Based Impregnated MgSiO3 with Crown Ethers for Palladium Recovery. [PDF]
Int J Mol Sci, 2021 Ciopec M +8 more
europepmc +1 more source
On semiclassical linear functionals: the symmetric companion
, 2002 17 pages, no figures.-- MSC2000 codes: Primary: 42C05; Secondary: 30C10.MR#: MR1931342 (2003h:42037)In this paper we analyze the symmetric companion of a quasi-definite linear functional.
Atia, Mohamed Jalel +4 more
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