Lagrange interpolation on the semiaxis. A survey

In this brief survey are collected some recent results about optimal interpolation processes of Lagrange type based on the zeros of generalized Laguerre polynomials, i.e. the sequence of orthogonal polynomials {p_(m)(w_(Alpha))}_m where (w_(Alpha))=exp(-x^Beta)*x^(Alpha) . A new extended Lagrange process having optimal Lebesgue constants is also introduced.