Certain Class of Analytic Functions Based on qq-difference operator

In this paper, we considered a generalized class of starlike functions defined by Kanas and R\u{a}ducanu\cite{10} to obtain integral means inequalities and subordination results. Further, we obtain the for various subclasses of starlike functions.Comment:

Direct syntheses of a series of cucurbit[<i>n</i>]uril-anchored polyacrylamides

<div><p>Using the one-pot, direct strategy reported by Su and co-workers, we have synthesised a series of cucurbit[<i>n</i>]urils (Q[<i>n</i>], <i>n</i> = 5–8) and alkyl-substituted cucurbit[6]urils (SQ[6]s) anchored on polymers. Acrylamide, as a typical monomer, was used to synthesise a series of Q[<i>n</i>]s (<i>n</i> = 5–8) and SQ[6]-anchored polyacrylamides (PAMs) using a persulfate salt as initiator and oxidant. The Q[<i>n</i>]s (<i>n</i> = 5–8) and SQ[6]-anchored PAM samples have been characterised by ¹H NMR, ¹H NMR titrations of probe guests, Fourier-transform infrared and thermogravimetric analyser. The results confirmed that PAM chains had been successfully grafted on the back of the Q[<i>n</i>]s (<i>n</i> = 5–8) and SQ[6]s through an <i>in situ</i> radical polymerisation approach. It was further confirmed that the hydrophobic cavities of the Q[<i>n</i>]s on the polymers were still freely accessible. This synthetic approach may be extended to a variety of Q[<i>n</i>]s that are difficult to functionalise.</p></div

Tetrachloridometallate Dianion-Induced Cucurbit[8]uril Supramolecular Assemblies with Large Channels and Their Potential Applications for Extraction Coating on Solid-Phase Microextraction Fibers

Q­[8]-based porous materials were synthesized in the presence of [M_d‑blockCl₄]^2– anions as structure inducers. The driving forces of the structure-directing effect of the [M_d‑blockCl₄]^2– anions may be due to the ion–dipole interaction and hydrogen bonding between the [M_d‑blockCl₄]^2– anions and CH or CH₂ groups on the backs of Q[8] molecules. Moreover, the tests of potential applications show that these porous materials can not only capture organic molecules through the cavity of Q[8] moieties but also adsorb larger organic molecules with different selectivities