Kampé de Fériet function reduction formula via finite-part integration

  • 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.

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)