Results 21 to 30 of about 79,547 (300)
University of Aden Journal of Natural and Applied Sciences, 2023 In this paper, certain new results concerning the maximum modulus of the polar derivative and the generalized polar derivative of a polynomial with restricted zeros are obtained. These estimates strengthen some well known inequalities for polynomial due to Tur n, Rather and Dar, Rather, Ali, Shafi and Dar and others.
Adeeb Tawfik Hasson Al-Saeedi +1 more
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Studies in Science and Technology, 2023 Novel binary liquid crystalline systems were obtained by mixing amorphous side-chain polymethacrylate (SCP) and polar compounds. Their thermal and orientational properties were examined by DSC measurement, polarizing microscopy and temperature-variable X-
Shogo Nakagawa +2 more
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Inequalities for the Polar Derivative of A Polynomial [PDF]
Mathematics and Statistics, 2013 IfP (z) = anz n + n P v= a n vz n v , 1 n, has all its zeros onjzj = k, k 1, then it was recently proved by Dewan and Ahuja (3) that for every real or complex number withj j k. maxzj=1 jD P (z)j n(j j +s )s k n +1 (1 +s ) maxzj=1 jP (z)j; In this paper, we improve the above result and obtain new inequality for the polar derivative of a polynomial.
Rather, N. A., Gulzar, Suhail
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Alkylating ability of carbohydrate oxetanes: Practical synthesis of bolaform skeleton derivative [PDF]
Journal of the Serbian Chemical Society, 2015 Alkylating ability of oxetane ring in carbohydrate structure was investigated and flexible method for bolaform amphiplile skeleton construction with xylose as polar heads is proposed.
Hadžić Pavle A. +2 more
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Extension of Some Polynomial Inequalities to the Polar Derivative [PDF]
, 2012 Let $p(z)$ be a polynomial of degree $n$ and ${D_\propto }p(z) = np(z) + (\propto - z)p'(z)$ denote the polar derivative of the polynomial $p(z)$ with respect to the point $\propto$.
Pukhta, M. S.
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Gas-liquid chromatographic analyses of 1,2-ethanediol monoethers and monoesters
Journal of Lipid Research, 1968 Synthetic mixtures of saturated and unsaturated monoethers and monoesters of 1,2-ethanediol, ranging in chain length from 12 to 20, were analyzed as acetates, trifluoroacetates (TFA), and trimethylsilyl (TMS) ethers by gas chromatography on polar and ...
Randall Wood, Wolfgang J. Baumann
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Note di Matematica. Some Results Concerning to Polar Derivative of Polynomials [PDF]
, 2013 Let P(z) be a polynomial of degree n and for a complex number , let DP(z) = nP(z) + (alpha − z) P′(z) denote the polar derivative of the polynomial P(z) with respect to alpha .In this paper we establish some Lr inequalities for the polar derivative of a ...
Mir, A., Baba, S. A.
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Inequalities concerning polar derivative of polynomials [PDF]
, 2011 In this paper we obtain certain results for the polar derivative of a polynomial \(p(z) = c_nz^n +\sum_{j=\mu}^n c_{n-j}z^{n-j}\), \(1\leq\mu\leq n\), having all its zeros on \(|z| = k\), \(k\leq 1\), which generalizes the results due to Dewan and Mir ...
Ahuja, Arty, Hans, Sunil, Dewan, K. K.
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Some closed form series solutions for the time-fractional diffusion-wave equation in polar coordinates with a generalized Caputo fractional derivative [PDF]
, 2023 In this paper, we obtain some closed form series solutions for the time fractional diffusion-wave equation (TFDWE) with the generalized time-fractional Caputo derivative (GTFCD) associated with a source term in polar coordinates.
Elkott, Ibrahim +3 more
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Molecules, 2014 Dissymmetric 1,3-diphenylallene derivative 3 connected with 4,5-bis(methyl-thio)tetrathiafulvalenyl and 1-pyrenyl substituents was prepared and characterized. The molecular structure was determined by X-ray crystallographic analysis.
Masashi Hasegawa +5 more
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