Handbook of Continued Fractions for Special Functions

Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for instance http: functions.wolfram.com) and a large col...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Cuyt, Annie A.M (Autor), Petersen, Vigdis (Autor), Verdonk, Brigitte (Autor), Waadeland, Haakon (Autor), Jones, William B. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Temas:
Special functions.
Engineering mathematics.
Engineering-Data processing.
Mathematics.
Computer science-Mathematics.
Engineering.
Social sciences.
Humanities.
Special Functions.
Mathematical and Computational Engineering Applications.
Mathematics of Computing.
Technology and Engineering.
Humanities and Social Sciences.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Basic Theory
  • Basics
  • Continued fraction representation of functions
  • Convergence criteria
  • Padé approximants
  • Moment theory and orthogonal functions
  • Numerics
  • Continued fraction construction
  • Truncation error bounds
  • Continued fraction evaluation
  • Special Functions
  • On tables and graphs
  • Mathematical constants
  • Elementary functions
  • Gamma function and related functions
  • Error function and related integrals
  • Exponential integrals and related functions
  • Hypergeometric functions
  • Confluent hypergeometric functions
  • Bessel functions
  • Probability functions
  • Basic hypergeometric functions.

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