Definite integrals from the finite parts of divergent Mellin-type pole singularity integrals involving entire functions

Authors

  • Daniel Anthony L. Monge ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

New expressions for certain definite integrals are acquired from a structure of finite part integration. That is, applying the method of finite part integration on divergent Mellin-type pole singularity integrals with an entire function in the numerator yielded, within its complex contour integral representation, novel expressions for certain definite integrals. These integrals are notably both numerically verified and not tabulated in the literature, hence the utility of finite part integration is increased.

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Issue

Article ID

SPP-2021-PC-02

Section

Poster Session C (Theoretical and Mathematical Physics)

Published

2021-09-26

How to Cite

[1]
DAL Monge and EA Galapon, Definite integrals from the finite parts of divergent Mellin-type pole singularity integrals involving entire functions, Proceedings of the Samahang Pisika ng Pilipinas 39, SPP-2021-PC-02 (2021). URL: https://proceedings.spp-online.org/article/view/SPP-2021-PC-02.