In this paper among many other things we prove that the topological left amenability and left amenability of a weighted hypergroup (K, ?) are equivalent. For a normal subgroup H of K, we define a weight function ?? on KIH and obtain connection between left amenability of (K, ?) and (K|H, ??). Let H be a compact subhypergroup of K. We define the weight function on K||H and obtain connection...

By applying p-adic integral on the set of integers in [27] (Interpolation Functions for New Classes Special Numbers and Polynomials via Applications Integrals Derivative Operator, Montes Taurus J. Pure Appl. Math. 3 (1), ...--..., 2021 Article ID: MTJPAM-D-20-00000), we constructed generating function special numbers polynomials involving following combinatorial sum numbers: y(n,\lambda )=\sum_...

We are concerned with a phase-space probability distribution which is known as Husimi $Q$-function of density operator respect to set coherent states $\vert\widetilde{\kappa}_{z,B,R,m}\rangle$ attached an $m$th hyperbolic Landau level and labeled by points $z$ open disk radius $R$, where $B>0$ proportional magnetic field strength. For representing projector on Fock state $\left\vert j\right\ran...

The theory of fractional analysis has been a focal point fascination for scientists in mathematical science, given its essential definitions, properties, and applications handling real-life problems. In the last few decades, many mathematicians have shown their considerable interest calculus convexity due to wide range almost all branches applied sciences, especially numerical analysis, physics...

Let $kgeq 1$ be an integer, and let $G$ be a graph. A {it$k$-rainbow dominating function} (or a {it $k$-RDF}) of $G$ is afunction $f$ from the vertex set $V(G)$ to the family of all subsetsof ${1,2,ldots ,k}$ such that for every $vin V(G)$ with$f(v)=emptyset $, the condition $bigcup_{uinN_{G}(v)}f(u)={1,2,ldots,k}$ is fulfilled, where $N_{G}(v)$ isthe open neighborhood of $v$. The {it weight} o...

This paper deals with the basic notions of k-tautimmersions . These notions come from two special cases; that is, tight and taut immersions. Tight and taut based on high and distance functions respectively and their basic notions are normal bundle, endpoint map, focal point, critical normal. We generalize hight and distance functions to cylindrical function and define basic notions of k-taut ...

this paper deals with the basic notions of k-tautimmersions . these notions come from two special cases; that is, tight and taut immersions. tight and taut based on high and distance functions respectively and their basic notions are normal bundle, endpoint map, focal point, critical normal. we generalize hight and distance functions to cylindrical function and define basic notions of k-taut im...