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.

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Issue

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

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.