10-05-2009, 03:03 PM
Orthogonal Functions, Moment Theory, and Continued Fractions
info:
William Jones, A. Sri Ranga
CRC | 1998 | ISBN: 0824702077 | Pages: 438 | DJVU | 3.27 MB
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!
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3.Post in the correct sections
4.Do not spam
5.Respect the other members