Für diesen Artikel ist leider kein Bild verfügbar.

Encyclopedia of Special Functions: The Askey-Bateman Project

Mourad E. H. Ismail (Herausgeber)

Buch | Hardcover
398 Seiten
2020
Cambridge University Press (Verlag)
978-0-521-19742-7 (ISBN)
83,50 inkl. MwSt
The Encyclopedia of Special Functions provides an extensive update of the Bateman Manuscript Project. The three volumes will be indispensable for all scientists who use special functions in their research. Volume 1 provides detailed and up-to-date information on orthogonal polynomials and moment problems.
This is the first of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 1 contains most of the material on orthogonal polynomials, from the classical orthogonal polynomials of Hermite, Laguerre and Jacobi to the Askey–Wilson polynomials, which are the most general basic hypergeometric orthogonal polynomials. Separate chapters cover orthogonal polynomials on the unit circle, zeros of orthogonal polynomials and matrix orthogonal polynomials, with detailed results about matrix-valued Jacobi polynomials. A chapter on moment problems provides many examples of indeterminate moment problems. A thorough bibliography rounds off what will be an essential reference.

Mourad E. H. Ismail is Research Professor at the University of Central Florida.

1. Preliminaries Mourad E. H. Ismail; 2. General orthogonal polynomials Mourad E. H. Ismail; 3. Jacobi and related polynomials Mourad E. H. Ismail; 4. Recursively defined polynomials Mourad E. H. Ismail; 5. Wilson and related polynomials Mourad E. H. Ismail; 6. Discrete orthogonal polynomials Mourad E. H. Ismail; 7. Some q-orthogonal polynomials Mourad E. H. Ismail; 8. The Askey–Wilson family of polynomials Mourad E. H. Ismail; 9. Orthogonal polynomials on the unit circle Leonid Golinskii; 10. Zeros of orthogonal polynomials Andrea Laforgia and Martin E. Muldoon; 11. The moment problem Christian Berg and Jacob S. Christiansen; 12. Matrix valued orthogonal polynomials and differential equations Antonio J. Durán and F. Alberto Grünbaum; 13. Some families of matrix valued Jacobi orthogonal polynomials F. Alberto Grünbaum, I. Pacharoni and J. A. Tirao; References; Index.

Erscheinungsdatum
Reihe/Serie Encyclopedia of Special Functions: The Askey-Bateman Project 3 Hardback Books ; Volume 1
Mitarbeit Assistent: Walter van Assche
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 177 x 250 mm
Gewicht 810 g
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 0-521-19742-2 / 0521197422
ISBN-13 978-0-521-19742-7 / 9780521197427
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch (2022)
Springer Spektrum (Verlag)
79,99