We consider the standard hypergeometric differential operator $\mathcal D$ regarded as an on complex plane $\mathbb C$ and conjugate $\bar{\mathcal D}$. These operators formally commute are adjoint one to another with respect appropriate weight. find conditions when they in Nelson sense write explicitly their joint spectral decomposition. It is determined by a two-dimensional counterpart of Jac...

Let (G;N) be a pair of groups. In this article, first we con-struct a relative central extension for the pair (G;N) such that specialtypes of covering pair of (G;N) are homomorphic image of it. Second, weshow that every perfect pair admits at least one covering pair. Finally,among extending some properties of perfect groups to perfect pairs, wecharacterize covering pairs of a perfect pair (G;N)...

The map position of Oct-4 on mouse chromosome 17 is between Q and T regions in the Major Histocompatibility Complex (MHC), and it is physically located within 35 kb of a class I gene. Several Oct-4-related genes are present in the murine genome; one of them maps to chromosome 9. The genomic structure and sequence of Oct-4 determined in t-haplotypes reveals five exons, and shows no significant c...

dft-gga method of perdew-burke-ernzerhof (pbe) is used with aug-cc-pvtz, 6-311++g**, and def2-tzvp large basis sets to study the hydrogen bond interactions between oxygen lone pair as a donor electron with hydrogen atom connected to the aniline’s nitrogen as an electron acceptor (h2o···hnh-ph), and nitrogen lone pair with hydrogen of water molecule (ph-h2n···hoh), both in the gas phase. in some...