Evaluation of Hankel transforms of meromorphic exponential type functions for large order parameters
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.
Downloads
Published
Issue
Section
License
By submitting their manuscript to the Samahang Pisika ng Pilipinas (SPP) for consideration, the Authors warrant that their work is original, does not infringe on existing copyrights, and is not under active consideration for publication elsewhere.
Upon acceptance of their manuscript, the Authors further agree to grant SPP the non-exclusive, worldwide, and royalty-free rights to record, edit, copy, reproduce, publish, distribute, and use all or part of the manuscript for any purpose, in any media now existing or developed in the future, either individually or as part of a collection.
All other associated economic and moral rights as granted by the Intellectual Property Code of the Philippines are maintained by the Authors.
