The paper is devoted to the piece-wise analytic case of Meijer's $G$ function $G^{m,n}_{p,p}$. While problem its continuation was solved in principle by Meijer and Braaksma we show that ''balanced'' $m+n=p$ formulas take a particularly simple form. We derive explicit expressions for values these continuations on banks branch cuts. It further demonstrated particular cases this type having intege...

Abstract Let p be a prime and let G finite group. A complex character of is called almost -rational if its values belong to cyclotomic field ? ? ( e 2 ? i / n stretchy="fa...

Abstract We continue with our study of the noncritical exceptional zeros Katz’ $p$-adic $L$-functions attached to a CM field $K$, following two threads. In 1st thread, we redefine (group-ring-valued) ${\mathcal {L}}$-invariant associated each ${\mathbb {Z}}_p$-extension $K_\Gamma $ $K$ in terms height pairings and interpolate them as varies universal (multivariate) group-ring-valued {L}}$-invar...

background & aim:  this study aimed to determine the relationship between lipid and apolipoprotein b-100 (apo b-100) levels in maternal and umbilical cord sera as well as the effects of these components on anthropometric measurements of newborn infants. methods:this correlational study was performed on 85 appropriate for gestational age (aga) newborns and their mothers. for analysis, 5 ml of ma...