Orthogonal Laurent polynomials and two-point Padé approximants associated with Dawson's integral

摘要

Starting from the coefficients of the power expansions for the Dawson's integral both around the origin and infinity, a linear functional acting on the space of Laurent polynomials is defined. In this paper, properties of this functional are studied in connection with certain sequences of orthogonal Laurent polynomials and two-point Padé approximants.