For a ring endomorphism $alpha$ and an $alpha$-derivation $delta$, we introduce a concept, so called skew $pi$-Armendariz ring, that is a generalization of both $pi$-Armendariz rings, and $(alpha,delta)$-compatible skew Armendariz rings. We first observe the basic properties of skew $pi$-Armendariz rings, and extend the class of skew $pi$-Armendariz rings through various ring extensions. We nex...

for a ring endomorphism $alpha$ and an $alpha$-derivation $delta$, we introduce a concept, so called skew $pi$-armendariz ring, that is a generalization of both $pi$-armendariz rings, and $(alpha,delta)$-compatible skew armendariz rings. we first observe the basic properties of skew $pi$-armendariz rings, and extend the class of skew $pi$-armendariz rings through various ring extensions. we nex...

In this paper, we study the pion leading-twist distribution amplitude (DA) ${\ensuremath{\phi}}_{2;\ensuremath{\pi}}(x,\ensuremath{\mu})$ by improving traditional light-cone harmonic oscillator model within reconstruction of function ${\ensuremath{\varphi}}_{2;\ensuremath{\pi}}(x)$. order to constrain parameters, calculate its moments $?{\ensuremath{\xi}}^{n}{?}_{2;\ensuremath{\pi}}{|}_{\ensure...

The site of synthesis of alpha 2-plasmin inhibitor (alpha 2-PI), a physiologic inhibitor of plasmin, is not known with certainty. We have studied the production and secretion of alpha 2-PI by three established human liver cell lines derived from hepatocellular carcinoma and hepatoblastoma (Hep G2, Hep 3B, and PLC/PRF/5). As measured by a specific radioimmunoassay, the titer of alpha 2-PI increa...

Let $F$ be a non-archimedean local field of odd characteristic $p > 0$. In this paper, we consider exterior square $L$-functions $L(s,\pi,\wedge^2)$, Bump-Friedberg $L(s,\pi,BF)$, and Asai $L(s,\pi,As)$ an irreducible admissible representation $\pi$ $GL_m(F)$. particular, establish that those $L$-functions, via the theory integral representations, are equal to their corresponding Artin $L(s,\we...