On a symmetry in strong distributions
The author abstract: A strong Stieltjes distribution \(d\psi(t)\) is called symmetric if it satisfies the property \[ t^\omega d\psi(\beta^2/t)= -(\beta^2/t)^\omega d\psi(t), \quad \text{for }t \in (a,b)\subseteq(0,\infty), \;2\omega \in \mathbb Z \text{ and }\beta>0 \] In this article some consequences of symmetry on the moments, the orthogonal \(L\)-polynomials and the quadrature formulae associated with the distribution are given.
scientific article; zbMATH DE number 1334861
scientific article