An nth power root fuzzy set is a useful extension of for expressing uncertain data. Because their wider range showing membership grades, sets can cover more ambiguous situations than intuitionistic sets. In this article, we present several novel operations on sets, as well various features. Besides, develop new weighted aggregated operator, namely, average (nPR-FWPA) over to deal with choice in...

We propose an expression for the current form of the lowering operator of the sl2 loop algebra symmetry of the six vertex model (XXZ spin chain) at roots of unity. This operator has poles which correspond to the evaluation parameters of representation theory which are given as the roots of the Drinfeld polynomial. We explicitly compute these polynomials in terms of the Bethe roots which charact...

converges uniformly on compact subsets of the upper half-plane C+ := {z ∈ C : Im z > 0} to a function analytic in C+. Let l(μ) := inf suppμ denote the left boundary of the support of μ, and μn∗ the nth convolution power of μ. The following uniqueness property of nth convolutions of measures from M∞ was discovered in connection with some probabilistic results (see for example [1], [7], [8], [9],...

 In this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{T}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. We use a strong convolution technique and derive inclusion results. A radius problem and some other interesting properties of these classes are discussed.

let $varphi(z)=z^m, z in mathbb{u}$, for some positive integer $m$, and $c_varphi$ be the composition operator on the bergman space $mathcal{a}^2$ induced by $varphi$. in this article, we completely determine the point spectrum, spectrum, essential spectrum, and essential norm of the operators $c^*_varphi c_varphi, c_varphi c^*_varphi$ as well as self-commutator and anti-self-commutators of $c_...

The nth Delannoy number and the nth Schröder number given by D n = n k=0 n k n + k k and S n = n k=0 n k n + k k 1 k + 1 respectively arise naturally from enumerative combinatorics. Let p be an odd prime. We mainly show that p−1 k=1 D k k 2 ≡ 2 −1 p E p−3 (mod p) and p−1 k=1 S k m k ≡ m 2 − 6m + 1 2m 1 − m 2 − 6m + 1 p (mod p), where (−) is the Legendre symbol, E 0 , E 1 , E 2 ,. .. are Euler n...