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.

Downloads

Issue

2023: Proceedings of the 41st Samahang Pisika ng Pilipinas Physics Conference

Physics: Connecting islands of knowledge
19-21 July 2023, Del Carmen, Siargao Island

Please visit the SPP2023 activity webpage for more information on this year's Physics Congress.

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.