Mechanofluorochromism of a Difluoroboron-β-Diketonate Derivative at the Nanoscale

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extensions of some polynomial inequalities to the polar derivative

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15 صفحه اول

Inequalities for the polar derivative of a polynomial with $S$-fold zeros at the origin

‎Let $p(z)$ be a polynomial of degree $n$ and for a complex number $alpha$‎, ‎let $D_{alpha}p(z)=np(z)+(alpha-z)p'(z)$ denote the polar derivative of the polynomial p(z) with respect to $alpha$‎. ‎Dewan et al proved‎ ‎that if $p(z)$ has all its zeros in $|z| leq k, (kleq‎ ‎1),$ with $s$-fold zeros at the origin then for every‎ ‎$alphainmathbb{C}$ with $|alpha|geq k$‎, ‎begin{align*}‎ ‎max_{|z|=...

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Thienyl Difluoroboron β-Diketonates in Solution and Polylactide Media.

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ژورنال

عنوان ژورنال: The Journal of Physical Chemistry Letters

سال: 2019

ISSN: 1948-7185,1948-7185

DOI: 10.1021/acs.jpclett.9b01923