In this paper, we consider the inverse scattering problem and, in particular, of reconstructing spectral density associated with Yukawian potentials from sequence partial-waves fℓ Fourier–Legendre expansion amplitude. We prove that if satisfy a suitable Hausdorff-type condition, then they can be uniquely interpolated by function f˜(λ)∈C, analytic half-plane. Assuming also Martin condition to ho...

The 12 inverse Jacobian elliptic functions are expanded in power series by using properties of the symmetric elliptic integral of the first kind. Suitable notation allows three series to include all 12 cases, three of which have been given previously. All coefficients are polynomials in the modulus k that are homogeneous variants of Legendre polynomials. The four series in each of three subsets...

A ring $R$ with an automorphism $sigma$ and a $sigma$-derivation $delta$ is called $delta$-quasi-Baer (resp., $sigma$-invariant quasi-Baer) if the right annihilator of every $delta$-ideal (resp., $sigma$-invariant ideal) of $R$ is generated by an idempotent, as a right ideal. In this paper, we study Baer and quasi-Baer properties of skew PBW extensions. More exactly, let $A=sigma(R)leftlangle x...