By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk U . In particular, we find the Hankel determinant and the Toeplitz matrices for this newly-defined class of analytic q-starlike functions. We also highlight some known consequences of our main results.
This article provides a critical review of the different applications of ferrocene-based peptides/amides in biological as well as in non-biological systems. Ferrocene-based peptides/amides find many applications in different fields such as materials science, medicine, organic synthesis, bio-organometallic and biological chemistry, asymmetric catalysis, nonlinear optics, in polymer science as redox active polymers and dendrimers, in molecular recognition as biosensors and in electrochemistry). Extensive research is being done on ferrocene-based peptides/amides but we will highlight the various applications of ferrocene-based peptides/amides for the period 2006-2010. The main factors that govern the potential biological and nonbiological applications are an electroactive core, a conjugated linker that can act as a chromophore and lower the oxidation potential of the ferrocene part, an amino acid or peptide derivative that can interact with other molecules via hydrogen bonding or any secondary bonding, and symmetric and asymmetric substitution on the ferrocene moiety.
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