Kampé de Fériet function reduction formula via finite-part integration

Authors

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

Issue

Section

Theoretical and Mathematical Physics (Short Presentations)