Continued Fractions and Orthogonal Functions (Lecture Notes in Pure and Applied Mathematics)

Description:

This outstanding reference - the proceedings of a research conference held in Loen, Norway - contains up-to-date information on the analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions. Uniting the research efforts of over 15 international experts, Continued Fractions and Orthogonal Functions treats strong moment problems, orthogonal polynomials, and Laurent polynomials . . . analyzes sequences of linear fractional transformations . . . presents convergence results, including truncation error bounds . . . considers discrete distributions and limit functions arising from indeterminate moment problems . . . discusses Szego polynomials and their application to frequency analysis . . . describes a quadrature formula arising from q-starlike functions . . . covers continued fractional representations for functions related to the gamma function . . . and much more.

subjects: Continued fractions,  Congresses,  Orthogonal Functions,  Functions, orthogonal