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Continued Fractions and Orthogonal Functions

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Release : 2020-12-17
Genre : Mathematics
Kind : eBook
Book Rating : 059/5 ( reviews)

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Book Synopsis Continued Fractions and Orthogonal Functions by : S. Clement Cooper

Download or read book Continued Fractions and Orthogonal Functions written by S. Clement Cooper. This book was released on 2020-12-17. Available in PDF, EPUB and Kindle. Book excerpt: This reference - the proceedings of a research conference held in Loen, Norway - contains information on the analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions. Uniting the research efforts of many international experts, this volume: treats strong moment problems, orthogonal polynomials and Laurent polynomials; analyses 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 applications to frequency analysis; describes the quadrature formula arising from q-starlike functions; and covers continued fractional representations for functions related to the gamma function.;This resource is intended for mathematical and numerical analysts; applied mathematicians; physicists; chemists; engineers; and upper-level undergraduate and agraduate students in these disciplines.

Orthogonal Polynomials and Continued Fractions

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Release : 2014-05-18
Genre : Continued fractions
Kind : eBook
Book Rating : 984/5 ( reviews)

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Book Synopsis Orthogonal Polynomials and Continued Fractions by : Sergey Khrushchev

Download or read book Orthogonal Polynomials and Continued Fractions written by Sergey Khrushchev. This book was released on 2014-05-18. Available in PDF, EPUB and Kindle. Book excerpt: Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.

Orthogonal Polynomials and Continued Fractions

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Release : 2008-07-24
Genre : Mathematics
Kind : eBook
Book Rating : 199/5 ( reviews)

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Book Synopsis Orthogonal Polynomials and Continued Fractions by : S. V. Khrushchev

Download or read book Orthogonal Polynomials and Continued Fractions written by S. V. Khrushchev. This book was released on 2008-07-24. Available in PDF, EPUB and Kindle. Book excerpt: Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.

Recurrence Relations, Continued Fractions and Orthogonal Polynomials

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Release : 1984
Genre : Mathematics
Kind : eBook
Book Rating : 019/5 ( reviews)

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Book Synopsis Recurrence Relations, Continued Fractions and Orthogonal Polynomials by : Richard Askey

Download or read book Recurrence Relations, Continued Fractions and Orthogonal Polynomials written by Richard Askey. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt: We address the question of recovering the distribution function of a set of orthogonal polynomials from the three term recurrence relation satisfied by the polynomials. We investigate four sets of orthogonal polynomials: the Al-Salam-Chihara polynomials, random walk polynomials and their [italic]q-analogue, and the case [italic]q = -1 of the associated continuous [italic]q-ultraspherical polynomials. For each polynomial set we obtain generating functions, derive explicit representations as ordinary or basic hypergeometric functions and determine their asymptotic behavior

Orthogonal Functions

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Release : 2020-12-22
Genre : Mathematics
Kind : eBook
Book Rating : 673/5 ( reviews)

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Book Synopsis Orthogonal Functions by : William Jones

Download or read book Orthogonal Functions written by William Jones. This book was released on 2020-12-22. Available in PDF, EPUB and Kindle. Book excerpt: "Oulines 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. Pade approximation, special functions, and Gaussian quadrature."

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