Share

Continued Fractions and Orthogonal Functions

2020-12-17 Mathematics
Download Continued Fractions and Orthogonal Functions PDF Online Free

Author :
Release : 2020-12-17
Genre : Mathematics
Kind : eBook
Book Rating : 149/5 ( reviews)

GET EBOOK


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 Functions

2020-12-22 Mathematics
Download Orthogonal Functions PDF Online Free

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

GET EBOOK


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."

Handbook of Continued Fractions for Special Functions

2008-04-12 Mathematics
Download Handbook of Continued Fractions for Special Functions PDF Online Free

Author :
Release : 2008-04-12
Genre : Mathematics
Kind : eBook
Book Rating : 499/5 ( reviews)

GET EBOOK


Book Synopsis Handbook of Continued Fractions for Special Functions by : Annie A.M. Cuyt

Download or read book Handbook of Continued Fractions for Special Functions written by Annie A.M. Cuyt. This book was released on 2008-04-12. Available in PDF, EPUB and Kindle. Book excerpt: Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for instance http: functions.wolfram.com) and a large collection of papers have been devoted to these functions. Of the standard work on the subject, the Handbook of mathematical functions with formulas, graphs and mathematical tables edited by Milton Abramowitz and Irene Stegun, the American National Institute of Standards claims to have sold over 700 000 copies! But so far no project has been devoted to the systematic study of continued fraction representations for these functions. This handbook is the result of such an endeavour. We emphasise that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or at the Wolfram website!

Recurrence Relations, Continued Fractions and Orthogonal Polynomials

1984 Mathematics
Download Recurrence Relations, Continued Fractions and Orthogonal Polynomials PDF Online Free

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

GET EBOOK


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

Continued Fractions and Orthogonal Functions

2020-12-17 Mathematics
Download Continued Fractions and Orthogonal Functions PDF Online Free

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

GET EBOOK


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.

You may also like...