Results 11 to 20 of about 76,947 (261)
For a polynomial P(z) of degree n , having all zeros in |z|≤1, Malik [11] proved that for each q>0, \(n [∫_0^{2π} |P(e^{iθ})|^q dθ] ^{1⁄q} ≤[∫_0^{2π} | 1 + e^{iθ} |^q dθ]^{1⁄q} \underset{|z|=1}{max} |P^ʹ (z)|\). In this paper we generalize the above inequality to polar derivative and generalized polar derivative, which as special cases include ...
Adeeb Tawfik Hasson Al-Saeedi +1 more
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Search for Non-Protein Protease Inhibitors Constituted with an Indole and Acetylene Core
A possible inhibitor of proteases, which contains an indole core and an aromatic polar acetylene, was designed and synthesized. This indole derivative has a molecular architecture kindred to biologically relevant species and was obtained through five ...
Marco A. Almaraz-Girón +7 more
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Polynomials with polar derivatives [PDF]
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Mir, Abdullah, Wani, Ajaz
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Synthesis, spectroscopy, and photophysical properties of newly magnesium (II) phthalocyanine
2(3),9(10),16(17),23(24)-tetrakis-2,6-dimethoxyphenoxy substituted magnesium (II) phthalocyanine, which has very good solubility in polar and non-polar solvents and does not aggregate, was synthesized.
Mehmet Pişkin +2 more
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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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Estimates for the polar derivative of a constrained polynomial on a disk
This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane.
Gradimir V. Milovanović +2 more
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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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Alkylating ability of carbohydrate oxetanes: Practical synthesis of bolaform skeleton derivative [PDF]
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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Inequalities for the Polar Derivative of A Polynomial [PDF]
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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Gas-liquid chromatographic analyses of 1,2-ethanediol monoethers and monoesters
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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