Application of finite-part integration in the evaluation of the generalized Stieltjes transform

Authors

  • Reynaldo P. Ylanan ⋅ 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 generalized Stieltjes transform is evaluated by the method of finite-part integration, and the result is compared with the results of the two most popular computer algebra systems, Maple and Mathematica. It is found that the integrators and the differential equation solvers of the computer algebra systems yield erroneous results under certain values of the parameters of the generalized Stieltjes transform.

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Issue

Article ID

SPP-2023-PC-28

Section

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

Published

2023-07-11

How to Cite

[1]
RP Ylanan and EA Galapon, Application of finite-part integration in the evaluation of the generalized Stieltjes transform, Proceedings of the Samahang Pisika ng Pilipinas 41, SPP-2023-PC-28 (2023). URL: https://proceedings.spp-online.org/article/view/SPP-2023-PC-28.