Advertisement

Interplay Between Generalized Functions and the Theory of Moments

  • Ram P. Kanwal

Abstract

Estrada and Kanwal have recently [6, 69–71] developed a distributional approach to asymptotic analysis. Their study is based on the interplay between the generalized functions and the theory of moments. Thus, they have not only succeeded in presenting a simplified approach to various known aspects of asymptotics but have also found many new results. They have applied their technique to many different branches of asymptotic expansions, such as asymptotic evaluation of divergent integrals, boundary layer theory and singular perturbations. Our aim in this chapter is to present the basic concepts of their methods and illustrate them with representative examples.

Keywords

Weight Function Asymptotic Expansion Orthogonal Polynomial Boundary Layer Theory Distributional Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Ram P. Kanwal
    • 1
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUniversity ParkUSA

Personalised recommendations