Finite-part integration of the Stieltjes transform of a class of hypergeometric functions

Authors

Christian Dacoycoy Tica ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Finite-part integration is a method of evaluating convergent integrals using the finite parts of divergents recently introduced in Proc. Roy. Soc. A 473, 20160567 (2017). Here we demonstrate finite part integration by evaluating explicitly the Stieltjes transform of a class of hypergeometric function.

Downloads

Issue

2017: Proceedings of the 35th Samahang Pisika ng Pilipinas Physics Conference

Opportunities and challenges in physics collaboration and research
7-10 June 2017, Cebu City

Mabuhay! This is our first issue published using PKP's Online Journal Systems (OJS). Full online access to PDF articles is provided to registered Paperview users.

Article ID

SPP-2017-1F-04

Section

Theoretical and Mathematical Physics

Published

2017-06-07

How to Cite

[1]

CD Tica and E Galapon, Finite-part integration of the Stieltjes transform of a class of hypergeometric functions, Proceedings of the Samahang Pisika ng Pilipinas 35, SPP-2017-1F-04 (2017). URL: https://proceedings.spp-online.org/article/view/224.