Asymptotics and special functions

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Détails bibliographiques
Auteur principal : Olver Frank W. J. (Auteur)
Format : Livre
Langue : anglais
Titre complet : Asymptotics and special functions / Frank W.J. Olver,...
Publié : Natick (Mass.) : A.K. Peters , cop. 1997
Description matérielle : 1 vol. (XVIII-572 p.)
Collection : AKP classics
Sujets :
  • 1 - Introduction to asymptotic analysis
  • 2 - Introduction to special functions
  • 3 - Integrals of a real variable
  • 4 - Contour integrals
  • 5 - Differential equations with regular singularities; hypergeometric and Legendre functions
  • 6 - The Liouville Green approximation
  • 7 - Differential equations with irregular singularities; Bessel and confluent hypergeometric functions
  • 8 - Sums and sequences
  • 9 - Integrals: further methods
  • 10 - Differential equations with a parameter: expansions in elementary functions
  • 11 - Differential equations with a parameter: turning points
  • 12 - Differential equations with a parameter: simple poles and other transition points
  • 13 - Connection formulas for solutions of differential equations
  • 14 - Estimation of remainder terms
  • A nswers to exercises
  • References
  • Index of symbols
  • General index