Kampé de Fériet function reduction formula via finite-part integration

Authors

Lloyd Llena Villanueva ⋅ PH National Institute of Physics, University of the Philippines Diliman
Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Finite-part integration is a method of evaluating well-defined convergent integrals using the finite part of divergent integrals. In this paper, a Stieltjes integral representation of the Gauss hypergeometric function is evaluated using the method of finite part integration. It is demonstrated that finite part integration leads to a new reduction formula of the Kampé de Fériet function.

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Issue

2020: Proceedings of the 38th Samahang Pisika ng Pilipinas Physics Conference

Shedding light on the pandemic through the lens of physics
Pagtanglaw sa pandemya sa lente ng pisika
19-23 October 2020

This is the first fully online SPP Physics Conference. Please visit the SPP2020 activity webpage for more information on this year's Physics Congress.

Article ID

SPP-2020-2G-03

Section

Theoretical and Mathematical Physics (Short Presentations)

Published

2020-10-19

How to Cite

[1]

LL Villanueva and EA Galapon, Kampé de Fériet function reduction formula via finite-part integration, Proceedings of the Samahang Pisika ng Pilipinas 38, SPP-2020-2G-03 (2020). URL: https://proceedings.spp-online.org/article/view/SPP-2020-2G-03.