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Orthogonal polynomials and continued fractions : from Euler's point of view

Verfasser/in: S V Khrushchev
Verlag: Cambridge : Cambridge University Press, 2008.
Serien: Encyclopedia of mathematics and its applications, 122.
Ausgabe/Format   Print book : EnglischAlle Ausgaben und Formate anzeigen
Datenbank:WorldCat
Zusammenfassung:
"This new and exciting historical book tells how Euler introduced the idea of orthogonal polynomials and how he combined them with continued fractions, as well as how Brouncker's formula of 1655 can be derived from Euler's efforts in Special Functions and Orthogonal Polynomials. The most interesting applications of this work are discussed, including the great Markoff's Theorem on the Lagrange spectrum, Abel's  Weiterlesen…
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Name: Leonhard Euler; Leonhard Euler; Leonhard Euler
Dokumenttyp: Buch
Alle Autoren: S V Khrushchev
ISBN: 9780521854191 0521854199
OCLC-Nummer: 213400529
Beschreibung: xvi, 478 pages : illustrations ; 25 cm.
Inhalt: Continued fractions: real numbers --
Continued fractions: algebra --
Continued fractions: analysis --
Continued fractions: Euler --
Continued fractions: Euler's influence --
P-fractions --
Orthogonal polynomials --
Orthogonal polynomials on the unit circle --
Appendix. Continued fractions, observations L. Euler (1739).
Serientitel: Encyclopedia of mathematics and its applications, 122.
Verfasserangabe: Sergey Khrushchev.

Abstract:

Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.  Weiterlesen…

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