Orthogonal functions, moment theory, and continued fractions: theory and applications

This valuable collection of articles outlines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions, Pad approximation, special functions, and Gaussian quadrature! Featuring the insights of nearly 30 contributors, Orthogonal Functions, Moment Theory, and Continued Fractions analyzes the asymptotic behavior of continued fraction coefficients for the Binet and gamma functions details new results on orthogonal Laurent polynomials computes special functions in the complex domain using continued fractions uses the Freud conjecture to analyze the coefficients of Stieltjes continued fractions for the first time profiles new results using Szego polynomials and their application to frequency analysis develops new results on strong moment theory and orthogonal rational functions using finite Blschke products proves that a two-parameter subfamily can subsume a four-parameter family of twin-convergence regions for continued fractions and more! Including over 1600 equations, references, and drawings, Orthogonal Functions, Moment Theory, and Continued Fractions is suitable for pure and applied mathematicians, numerical analysts, statisticians, theoretical and mathematical physicists, chemists, electrical engineers, and upper-level undergraduate and graduate students in these disciplines.