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Asymptotics and special functions /

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Bibliographic Details
Main Author: Olver, Frank W. J., 1924- (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Wellesley, Massachusetts : A.K. Peters, 1997.
Series:AKP classics.
Subjects:
Functions, Special.
Differential equations > Numerical solutions.
Asymptotic expansions.
Fonctions spéciales.
Équations différentielles > Solutions numériques.
Développements asymptotiques.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Asymptotic expansions
Differential equations > Numerical solutions
Functions, Special
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface to A. K. Peters Edition
  • 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. 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 Solution of Differential Equations
  • 14. Estimation of Remainder Terms.