Uniform Asymptotic Methods for Integrals

  title={Uniform Asymptotic Methods for Integrals},
  author={Nico M. Temme},
  journal={Indagationes Mathematicae},
  • N. Temme
  • Published 7 August 2013
  • Mathematics
  • Indagationes Mathematicae
We give an overview of basic methods that can be used for obtaining asymptotic expansions of integrals: Watson’s lemma, Laplace’s method, the saddle point method, and the method of stationary phase. Certain developments in the field of asymptotic analysis will be compared with De Bruijn’s book Asymptotic Methods in Analysis. The classical methods can be modified for obtaining expansions that hold uniformly with respect to additional parameters. We give an overview of examples in which special… 

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