Publications by authors named "A N Lupas"
The generalization of BVPs always covers a wide range of equations. Our choice in this research is the generalization of Caputo-type fractional discrete differential equations that include two or more fractional -integrals. We analyze the existence and uniqueness of solutions to the multi-point nonlinear BVPs base on fixed point theory, including fixed point theorem of Banach, Leray-nonlinear Schauder's alternative, and Leray-degree Schauder's theory.
View Article and Find Full Text PDFThis paper introduces a novel subclass, denoted as , of Te-univalent functions utilizing Bernoulli polynomials. The study investigates this subclass, establishing initial coefficient bounds for , , and the Fekete-Szegö inequality, namely , are derived for this class. Additionally, several corollaries are provided to further elucidate the implications of the findings.
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- - Many bacteria have protective polysaccharide capsules made of long glycan chains, which can be free or attached to their outer membrane; the group 4 capsule in E. coli is produced by a specific gene operon.
- - The GfcD protein, part of this operon, is believed to function as a channel for exporting lipid-anchored polysaccharide chains and has two predicted β-barrel domains that could serve as a lateral exit gate.
- - A study using molecular dynamics showed that while the lateral aperture of GfcD remains stable, lipids do not enter the barrel, but lipid A successfully exits into the membrane, indicating how the capsule is exported.
The study of holomorphic functions has been recently extended through the application of diverse techniques, among which quantum calculus stands out due to its wide-ranging applications across various scientific disciplines. In this context, we introduce a novel q-differential operator defined via the generalized binomial series, which leads to the derivation of new classes of quantum-convex (q-convex) functions. Several specific instances within these classes were explored in detail.
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- Histones are crucial for organizing DNA and regulating gene expression, forming different structures in eukaryotes (octamers in nucleosomes) and archaea (dimers in hypernucleosomes).
- The study focuses on a bacterial histone called HBb, which is vital for the survival of Bdellovibrio bacteriovorus and shows unique characteristics in DNA binding compared to eukaryotic and archaeal histones.
- HBb is capable of bending and compacting DNA in a way that is not dependent on specific sequences, indicating that bacterial histones share some similarities with, but also differ significantly from, histones in other life forms.