Orthogonal functions : moment theory and continued fractions /: moment theory and continued fractions. (2020)
- Record Type:
- Book
- Title:
- Orthogonal functions : moment theory and continued fractions /: moment theory and continued fractions. (2020)
- Main Title:
- Orthogonal functions : moment theory and continued fractions
- Further Information:
- Note: Edited by William B. Jones, A. Sri Ranga.
- Editors:
- Jones, William B (William Branham), 1931-
Ranga, A. Sri, 1956- - Contents:
- 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 GuoxiangPreface -- 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. … (more)
- Edition:
- 1st
- Publisher Details:
- Boca Raton : CRC Press
- Publication Date:
- 2020
- Extent:
- 1 online resource
- Subjects:
- 515.55
Functions, Orthogonal
Continued fractions
Moment problems (Mathematics) - Languages:
- English
- ISBNs:
- 9781000153675
- Related ISBNs:
- 9781000117127
9781000137941
9781003072126 - Notes:
- Note: Includes bibliographical references.
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- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.582939
- Ingest File:
- 04_040.xml