
Orthogonal Functions
Moment Theory and Continued Fractions
William Jones(Editor)
CRC Press
1st Edition
Published on 2. August 2017
Book
Hardback
440 pages
978-1-138-41326-9 (ISBN)
Description
"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."
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Professional
Dimensions
Height: 260 mm
Width: 183 mm
Thickness: 28 mm
Weight
1017 gr
ISBN-13
978-1-138-41326-9 (9781138413269)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

E-Book
12/2020
1st Edition
CRC Press
€251.99
Available for download

E-Book
12/2020
1st Edition
CRC Press
€251.99
Available for download

Book
07/1998
1st Edition
CRC Press
€261.20
Shipment within 15-20 days
Person
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<;:ao e Estatfstica, Instituto de Biociencias, Letras e Ciencias Exatas, Universidade Estadual Paulista, in Sao Jose do Rio Preto, Sao Paulo, Brazil. He is a member of the Sociedade Brasileira de Matematica Aplicada e Computacinal and the American Mathematical Society. Dr. Sri Ranga received the Ph.D. degree (1984) from the University of St. Andrews, Scotland, and the Livre Docencia degree (1991) from the Universidade de Sao Paulo, in Sao Carlos, Sao Paulo, Brazil.
Content
Preface -- Contributors -- Participants -- 1. Chebyshev-Laurent Polynomials and Weighted Approximation Eliana /X. L. de Andrade and Dimitar K. Dimitrov -- 2. Natural Solutions of Indeterminate Strong Stieltjes Moment Problems Derived from PC-Fractions /Catherine M. Bonan-Hamada, William B. Jones, and Olav Njastad -- 3. A Class oflndeterminate Strong Stieltjes Moment Problems with Discrete Distributions /Catherine M. Bonan-Hamada, William B. Jones, Olav Njastad, and W. J. Thran -- 4. Symmetric Orthogonal L-Polynomials in the Complex Plane /C. F. Bracciali, J. M. V. Cape /a, and A. Sri Ranga -- 5. Continued Fractions and Orthogonal Rational Functions Adhemar Bu /thee!, Pablo Gonzalez-Vera, Erik Hendriksen, and Olav Njastad -- 6. Interpolation of Nevanlinna Functions by Rationals with Poles on the Ral Line /Adhemar Bultheel, Pablo Gonzalez-Vera, Erik Hendriksen, and Olav Njastad -- 7. Symmetric Orthogonal Laurent Polynomials /Lyle Cochran and S. Clement Cooper -- 8. Interpolating Laurent Polynomials /S. Clement Cooper and Philip E. Gustafson -- 9. Computation of the Binet and Gamma Functions by Stieltjes Continued Fractions /Cathleen M. Craviotto, William B. Jones, and Nancy J. Wyshinski -- 10. Formulas for the Moments of Some Strong Moment Distributions /Brian A. Hagler -- 11. Orthogonal Laurent Polynomials of Jacobi, Hermite, and Laguerre Types /Brian A. Hagler, William B. Jones, and W. J. Thron -- 12. Regular Strong Hamburger Moment Problems /William B. Jones and Guoxiang Shen -- 13. Asymptotic Behavior of the Continued Fraction Coefficients of a Class of Stieltjes Transforms Including the Binet Function /William B. Jones and Walter Van Assche -- 14. Uniformity and Speed of Convergence of Complex Continued Fractions K(a /1 /L. J. Lange -- 15. Separation Theorem of Chebyshev-Markov-Stieltjes Type for Laurent Polynomials Orthogonal on (0, oo) /XinLi -- 16. Orthogonal Polynomials Associated with a Nondiagonal Sobolev Inner Product with Polynomial Coefficients /Maria Alvarez de Morales, Teresa E. Perez, Miguel A. Piiiar, and Andre Ronveaux -- 17. Remarks on Canonical Solutions of Strong Moment Problems /Olav Njastad -- 18. Sobolev Orthogonality and Properties of the Generalized Laguerre Polynomials /Teresa E. Perez and Miguel A. Piiiar -- 19. A Combination of Two Methods in Frequency Analysis: The R(N)-Process /Vigdis Petersen -- 20. Zeros of Szego Polynomials Used in Frequency Analysis /Vigdis Petersen -- 21. Some Probabilistic Remarks on the Boundary Version of Worpitzky's Theorem /Haakon Waadeland.