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

"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 m...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Khrushchev, S. V.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2008.
Colección:Encyclopedia of mathematics and its applications ; 122.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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).