Stieltjes integral for large parameter

Authors

Roberto Salazar Vitancol ⋅ PH University of Santo Tomas - Senior High School
Eric Alvarez Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The Stieltjes integral for large parameter is evaluated using finite part integration of divergent integrals. The result is compared to that using distributional approach for asymptotic integrals. It was shown that the method of finite part integration of divergent integrals is able to reproduce the result of distributional approach in evaluating the Stieltjes integral.

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Issue

2018: Proceedings of the 36th Samahang Pisika ng Pilipinas Physics Conference

Building bridges and exploring frontiers
6-9 June 2018, Puerto Princesa City

Please visit the activity webpage for SPP2018 for more information on this year's conference.

Article ID

SPP-2018-PC-47

Section

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

Published

2018-05-31

How to Cite

[1]

RS Vitancol and EA Galapon, Stieltjes integral for large parameter, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PC-47 (2018). URL: https://proceedings.spp-online.org/article/view/SPP-2018-PC-47.