In the present paper, a new characterization of orthogonality monic polynomials sequence $\left\{ Q_{n}\right\} _{n\geq 0}$ is obtained. This defined as linear combination another orthogonal P_{n}\right\} such as% \begin{equation*} Q_{n}(x)+r_{n}Q_{n-1}(x)=P_{n}(x)+s_{n}P_{n-1}(x)+t_{n}P_{n-2}\left( x\right) +v_{n}P_{n-3}\left( +w_{n}P_{n-4}(x),\ n\geq 0 \end{equation*}% where $w_{n}r_{n}\neq 0...

Consistent differences in K+ currents in left and right atria of adult mouse hearts have been identified by the application of current- and voltage-clamp protocols to isolated single myocytes. Left atrial myocytes had a significantly (P < 0.05) larger peak outward K+ current density than myocytes from the right atrium. Detailed analysis revealed that this difference was due to the rapidly activ...

In this paper, we develop an elementary and unified treatment, in the spirit of Rivière Struwe (Comm. Pure. Appl. Math. 2008), to explore regularity weak solutions higher order geometric elliptic systems critical dimensions without using conservation law. As a result, obtain interior Hölder continuity for system de Longueville Gastel <mml:math xmlns:mml...

Abstract This work establishes the most complete sample of red supergiants (RSGs) in 12 low-mass galaxies (WLM, IC 10, NGC 147, 185, 1613, Leo A, Sextans B, 6822, Pegasus Dwarf, SMC, and LMC) Local Group, which forms a solid basis to study properties RSGs as well star formation rate initial mass function galaxies. After removing foreground dwarf stars by their obvious branch near-infrared color...

Forming Limit Diagrams are useful tools for evaluation of formability in the sheet metals. In this paper the effects of yield criteria on predictions of the right and left-hand sides of forming limit diagrams (FLDs) are investigated. In prediction of FLD, Hosford 1979, “Karafillis-Boyce” (K-B) and BBC2000 anisotropy yield functions have been applied. Whereas the prediction of FLD is based on th...

For a compact set A ⊂ R d <m...

Let $p$ be an odd prime and let $n$ a positive integer with $p\nmid n$. For any $r$ $\lambda \in \{1, 2, 3\}$ \lambda $, we have $$ \sum _{k=0}^{p^{r}n-1}\frac {\left (\frac 12\right )_k}{k!}\cdot \frac {4^k}{\lambda ^

In dogs under pentobarbital anesthesia, the administration of KCI in single intra-atrial doses of 1 mg/kg produced varying effects on intraventricular conduction depending upon the initial potassium concentration of systemic blood. At normal and moderately increased systemic K concentrations, single injections of KCI improved intraventricular conduction, but at higher systemic K concentrations ...

For an entire function $f(z) = \sum_{k=0}^\infty a_k z^k,$ $a_k >0,$ we define the sequence of second quotients Taylor coefficients $Q := \left( \frac{a_k^2}{a_{k-1}a_{k+1}} \right)_{k=1}^\infty$. We find new necessary conditions for a with non-decreasing $Q$ to belong Laguerre--Polya class type I. also estimate possible number nonreal zeros $Q.$

Let k be a field. Given two finite-dimensional right comodules N andM over a k–coalgebra C, the k–vector spaces ExtC(N,M) need not to be finite-dimensional. This is due to the fact that the injective right comodules appearing in the minimal injective resolution of M need not to be of finite dimension or even quasi-finite. The obstruction here is that factor comodules of quasi-finite comodules a...