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NUMBER OF ZEROS OF POLAR DERIVATIVES OF POLYNOMIALS
JP Journal of Fixed Point Theory and Applications, 2020Ramulu, P., Reddy, G. L.
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NEW REGION FOR ZEROS OF A POLAR DERIVATIVE OF POLYNOMIAL
jnanabhaLet 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. +2 more
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Radical-polar crossover reaction of glycine derivatives
Chemical CommunicationsWe present a visible-light facilitated radical addition method to synthesize natural and unnatural α-amino acids from readily available glycine derivatives and alkenes, using a radical-polar crossover strategy under redox-neutral conditions.
Youwan Ye +5 more
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Inequalities of Turán Type for the Polar Derivative of a Polynomial
Siberian Mathematical JournalzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mir, A., Bhat, A. H., Thoker, W. A.
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Integral-norm estimates for the polar derivative of a polynomial
Journal of Analysis, 2021Abdullah Mir +2 more
exaly
On an inequality concerning the polar derivative of a polynomial
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2007Rather N A, Aziz A, N A Rather
exaly
Polarization spectra of anthracene derivatives
Journal of Applied Spectroscopy, 1968I. N. Kozlov +2 more
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Bernstein-Type Inequalities Involving Polar Derivative of a Polynomial
Lobachevskii Journal of Mathematics, 2021exaly
Some inequalities concerning the polar derivative of a polynomial
Journal of Interdisciplinary Mathematics, 2018Abdullah Mir, M H Gulzar
exaly