Evaluation of Hankel transforms of meromorphic exponential type functions for large order parameters

Authors

  • Nathalie Liezel R. Rojas ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We asymptotically evaluate the Hankel transform of a meromorphic exponential type function by performing contour integration in the complex plane. While the resulting expansion reproduces terminating Poincaré asymptotic expansion, it also reveals additional exponentially small terms that are not captured by the standard PAE. These contributions arise due to the presence of poles in the integrand, and it is shown that the appearance of the exponentially small terms in the asymptotic expansion of the Hankel transform of exponential type functions depend on the analytic properties of such functions.

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Issue

Entangled!
25-28 June 2025, National Institute of Physics, University of the Philippines Diliman

Please visit the SPP2025 activity webpage for more information on this year's Physics Congress.

Article ID

SPP-2025-3B-02

Section

Theoretical and Mathematical Physics

Published

2025-06-19

How to Cite

[1]
NLR Rojas and EA Galapon, Evaluation of Hankel transforms of meromorphic exponential type functions for large order parameters, Proceedings of the Samahang Pisika ng Pilipinas 43, SPP-2025-3B-02 (2025). URL: https://proceedings.spp-online.org/article/view/SPP-2025-3B-02.