# Kampé de Fériet function reduction formula via finite-part integration

### 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.

Published

2020-09-11

How to Cite

[1]

L. Villanueva and E. 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://paperview.spp-online.org/proceedings/article/view/SPP-2020-2G-03.
Section

1F/2G/5A Theoretical and Mathematical Physics (Short Presentations)