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Jones / Ranga

Orthogonal Functions

Moment Theory and Continued Fractions

Medium: Buch
ISBN: 978-1-138-41326-9
Verlag: Taylor & Francis Ltd
Erscheinungstermin: 02.08.2017
Lieferfrist: bis zu 10 Tage
"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."

Produkteigenschaften


  • Artikelnummer: 9781138413269
  • Medium: Buch
  • ISBN: 978-1-138-41326-9
  • Verlag: Taylor & Francis Ltd
  • Erscheinungstermin: 02.08.2017
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2017
  • Serie: Lecture Notes in Pure and Applied Mathematics
  • Produktform: Gebunden
  • Gewicht: 454 g
  • Seiten: 440
  • Format (B x H): 178 x 254 mm
  • Ausgabetyp: Kein, Unbekannt

Autoren/Hrsg.

Herausgeber

Jones, William

Ranga, A. Sri

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.