Exactification of the asymptotics for Bessel and Hankel functions

  • Kowalenko V
  • 6


    Mendeley users who have this article in their library.
  • 11


    Citations of this article.


Exactification is the process of showing how a complete asymptotic expansion can be evaluated to yield exact values of the original function it represents. Because the process does not involve neglecting the remainders of truncated component asymptotic series within a complete asymptotic expansion, techniques for evaluating divergent series are required. One such technique is Borel summation, but in many instances, it can be computationally slow and consequently, lacking in precision. Another is the numerical technique of Mellin-Barnes regularization, which is capable of evaluating divergent series with great precision far more rapidly than Borel summation. Here, both techniques are presented in the evaluation of exact values for Bessel and Hankel functions from their complete asymptotic expansions. © 2002 Elsevier Science Inc. All rights reserved.

Author-supplied keywords

  • Bessel functions
  • Borel summation
  • Complete asymptotic expansion
  • Divergent series
  • Exactification
  • Hankel functions
  • Mellin-Barnes integrals
  • Numerical integration
  • Regularization
  • Subdominant asymptotic series

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free