Generalized contour integral representation of the finite part

Authors

  • Kenneth Jhon Mora Remo ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The contour integral representation of the finite part was generalized for the case of pole (ν = 0) and branch point (ν ≠ 0) singularity by considering an arbitrarily oriented contour of intregration. The generalized representation also satisfies the term by term integration of a Stieltjes integral.

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Published

2020-10-19

Issue

Section

Theoretical and Mathematical Physics (Short Presentations)

How to Cite

[1]
KJM Remo and EA Galapon, Generalized contour integral representation of the finite part, in Proceedings of the 38th Samahang Pisika ng Pilipinas Physics Conference (Philippines, 2020), SPP-2020-1F-03. URL: https://proceedings.spp-online.org/article/view/SPP-2020-1F-03