Terminating asymptotic series of some integral transforms containing exponential type functions

Authors

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

Abstract

We perform an asymptotic evaluation of integral transforms containing exponential type functions. Two cases are considered where the exponential type function is entire or meromorphic. For the integral with an entire exponential type function, it is shown that this produces a Poincaré expansion where the behavior is terminating. For the integral with meromorphic exponential type function, it also produces the Poincaré expansion that is terminating, but with the addition of the exponentially small terms which the Poincaré expansion misses out.

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Issue

Article ID

SPP-2023-PC-03

Section

Poster Session C (Mathematical Physics, Optics, and Interdisciplinary Topics)

Published

2023-07-03

How to Cite

[1]
NLR Rojas and EA Galapon, Terminating asymptotic series of some integral transforms containing exponential type functions, Proceedings of the Samahang Pisika ng Pilipinas 41, SPP-2023-PC-03 (2023). URL: https://proceedings.spp-online.org/article/view/SPP-2023-PC-03.