In this paper, we consider the following 2-D Schr\"{o}dinger-Newton equations \begin{eqnarray*} -\Delta u+a(x)u+\frac{\gamma}{2\pi}\left(\log(|\cdot|)*|u|^p\right){|u|}^{p-2}u=b{|u|}^{q-2}u \qquad \text{in} \,\,\, \mathbb{R}^{2}, \end{eqnarray*} where $a\in C(\mathbb{R}^{2})$ is a $\mathbb{Z}^{2}$-periodic function with $\inf_{\mathbb{R}^{2}}a>0$, $\gamma>0$, $b\geq0$, $p\geq2$ and $q\geq 2$. B...

A q-analogue of the multiple gamma functions is introduced , and is shown to satisfy the generalized Bohr-Morellup theorem. Furthermore we give some expressions of these function. 1 2 MICHITOMO NISHIZAWA

We investigate how a combination of nonmagnetic-impurity scattering rate $\gamma$ and finite subgap states parametrized by Dynes $\Gamma$ affects various physical quantities relevant to superconducting devices: kinetic inductance $L_k$, complex conductivity $\sigma$, surface resistance $R_s$, quality factor $Q$, depairing current density $J_d$. All the calculations are based on Eilenberger form...

The effects of the ryanodine receptor (RyR) antagonists ryanodine and daunorubicin on the kinetic and steady-state properties of intramembrane charge were investigated in intact voltage-clamped frog skeletal muscle fibers under conditions that minimized time-dependent ionic currents. A hypothesis that RyR gating is allosterically coupled to configurational changes in dihydropyridine receptors (...

A graph is called symmetric if its full automorphism group acts transitively on the set of arcs. The Cayley graph $Gamma=Cay(G,S)$ on group $G$ is said to be normal symmetric if $N_A(R(G))=R(G)rtimes Aut(G,S)$ acts transitively on the set of arcs of $Gamma$. In this paper, we classify all connected tetravalent normal symmetric Cayley graphs of order $p^2q$ where $p>q$ are prime numbers.

Let $G$ be a finite group and $pi(G)$ be the set of all prime divisors of $|G|$. The prime graph of $G$ is a simple graph $Gamma(G)$ with vertex set $pi(G)$ and two distinct vertices $p$ and $q$ in $pi(G)$ are adjacent by an edge if an only if $G$ has an element of order $pq$. In this case, we write $psim q$. Let $|G= p_1^{alpha_1}cdot p_2^{alpha_2}cdots p_k^{alpha_k}$, where $p_1

For $$\beta > 1$$ a real algebraic integer (the base), the finite alphabets $${\mathcal {A}} \subset {\mathbb {Z}}$$ which realize identity $${\mathbb {Q}}(\beta ) = \mathrm{Per}_{{\mathcal {A}}}(\beta )$$ , where $$\mathrm{Per}_{{\mathcal is set of complex numbers are $$(\beta {\mathcal {A}})$$ -eventually periodic representations, investigated. Comparing with greedy algorithm, minimal and nat...

We investigate the production of fully - heavy tetraquark states $T_{4Q}$ in $\gamma \gamma$ interactions present proton-proton, proton-nucleus and nucleus-nucleus collisions at CERN Large Hadron Collider (LHC). focus on \gamma \rightarrow {\cal{Q}}{\cal{Q}}$ (${\cal{Q}} = J/\psi,\, \Upsilon$) subprocess, mediated by resonance $s$ channel, predictions for hadronic cross sections considering kin...