Name: Orthogonal Functions By William Jones (University of Cambridge, UK University of Cambridge University of Cambridge University of Cambridge, Cambridge, UK University of Cambridge, Cambridge, UK University of Cambridge, UK)
SKU: 9780824702076
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Orthogonal Functions Summary

Orthogonal Functions: Moment Theory and Continued Fractions by William Jones (University of Cambridge, UK University of Cambridge University of Cambridge University of Cambridge, Cambridge, UK University of Cambridge, Cambridge, UK University of Cambridge, UK)

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.

About William Jones (University of Cambridge, UK University of Cambridge University of Cambridge University of Cambridge, Cambridge, UK University of Cambridge, Cambridge, UK University of Cambridge, UK)

WILLIAM B. JONES is Professor Emeritus of Mathematics at the University of Colo rado. He is the author or coauthor of more than 190 research papers, abstracts, and invited lectures. Dr. Jones is a member of the American Mathematical Society, the Mathematical Association of America, the Society for Industrial and Applied Mathematics, and the American Association of University Professors. He received the B.A. degree (1953) from Jacksonville State University, Alabama, and the M.A. (1955) and Ph.D. (1963) degrees from Vanderbilt University, Nashville, Tennessee. A. SRI RANGA is Professor of Numerical Analysis in the Departamento de Ciencias de Computa

Chebyshev-Laurent polynomials and weighted approximation; natural solutions of indeterminate strong Stieltjes moment problems derived from PC-fractions; a class of indeterminate strong Stieltjes moment problems with discrete distributions; symmetric orthogonal L-polynomials in the complex plane; continued fractions and orthogonal rational functions; interpolation of Nevanlinna functions by rationals with poles on the real line; symmetric orthogonal Laurent polynomials; interpolating Laurent polynomials; computation of the gamma and Binet functions by Stieltjes continued fractions; formulas for the moments of some strong moment distributions; orthogonal Laurent polynomials of Jacobi, Hermite and Laguerre types; regular strong Hamburger moment problems; asymptotic behaviour of the continued fraction coefficients of a class of Stieltjes transforms, including the Binet function; uniformity and speed of convergence of complex continued fractions K(an/1); separation theorem of Chebyshev-Markov-Stieltjes type for Laurent polynomials orthogonal on (0, alpha); orthogonal polynomials associated with a non-diagonal Sobolev inner product with polynomial coefficients; remarks on canonical solutions of strong moment problems; Sobolev orthogonality and properties of the generalized Laguerre polynomials; a combination of two methods in frequency analysis -the R(N)-process; zeros of Szego polynomials used in frequency analysis; some probabilistic remarks on the boundary version of Worpitzky's theorem.

Additional information

Sku

NLS9780824702076

ISBN 13

9780824702076

ISBN 10

0824702077

Title

Orthogonal Functions: Moment Theory and Continued Fractions by William Jones (University of Cambridge, UK University of Cambridge University of Cambridge University of Cambridge, Cambridge, UK University of Cambridge, Cambridge, UK University of Cambridge, UK)

Author

William Jones (University of Cambridge, UK University of Cambridge University of Cambridge University of Cambridge, Cambridge, UK University of Cambridge, Cambridge, UK University of Cambridge, UK)

Series

Lecture Notes in Pure and Applied Mathematics

Condition

New

Binding type

Paperback

Publisher

Taylor & Francis Inc

Year published

1998-07-24

Number of pages

438

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Orthogonal Functions William Jones (University of Cambridge, UK University of Cambridge University of Cambridge University of Cambridge, Cambridge, UK University of Cambridge, Cambridge, UK University of Cambridge, UK)

Orthogonal Functions by William Jones (University of Cambridge, UK University of Cambridge University of Cambridge University of Cambridge, Cambridge, UK University of Cambridge, Cambridge, UK University of Cambridge, UK)

Summary

Orthogonal Functions Summary

Orthogonal Functions: Moment Theory and Continued Fractions by William Jones (University of Cambridge, UK University of Cambridge University of Cambridge University of Cambridge, Cambridge, UK University of Cambridge, Cambridge, UK University of Cambridge, UK)

About William Jones (University of Cambridge, UK University of Cambridge University of Cambridge University of Cambridge, Cambridge, UK University of Cambridge, Cambridge, UK University of Cambridge, UK)

Table of Contents

Additional information

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