Independent proof to the complete asymptotic expansion of the Hankel integral yielding an exact and finite series value for half integer order

Authors

  • Arvin D. C. Lamando Department of Physics, Polytechnic University of the Philippines
  • Eric A. Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

This paper is motivated by the recent paper on asymptotics where a new representation of the Hankel integral given by Fν(x) = ∫0 Jv(xt)/(1+t) dt for half integer ν and x > 0 was found using the distributional approach [Galapon & Martinez, Proc. R. Soc. A 470, 20130529 (2013)]. The paper uses a method that is independent to the distributional approach and exactification of the complete asymptotic expansion of the Hankel integral in question. The derivation uses known properties of other special functions specially their series representations.

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Issue

Article ID

SPP2014-PB-24

Section

Poster Session PB

Published

2014-10-17

How to Cite

[1]
ADC Lamando and EA Galapon, Independent proof to the complete asymptotic expansion of the Hankel integral yielding an exact and finite series value for half integer order, Proceedings of the Samahang Pisika ng Pilipinas 32, SPP2014-PB-24 (2014). URL: https://proceedings.spp-online.org/article/view/1896.