Abstract
This paper is a follow-up to an earlier paper by Bleistein which derived asymptotic expansions of integral tranforms of functions with logarithmic singularities. That result dealt with exponentially decaying kernels. In this paper the results are expanded to include the case of general oscillatory kernels—e.g., Fourier or Hankel transforms. The results also include kernels such as Airy functions of negative argument and oscillatory Weber functions.
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