Extracting new representation of the hypergeometric function using finite part integration

  • Leonarc Michelle Santos National Institute of Physics, University of the Philippines Diliman
  • Eric Alvarez Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

Finite part integration is a technique in evaluating convergent integrals by means of introducing a divergence. This is done by expanding the kernel and performing a term by term integration. Currently, the method is viable in evaluating integrals of the form of the generalized Stietljes transform. In this paper, we took advantage of the fact that the hypergeometric function is a Stietljes function given the appropriate conditions. Finite part integration is used to evaluate the Stieltjes integral representation and find a new representation of a specific hypergeometric function.

Published
2018-05-29
How to Cite
[1]
L. M. Santos and E. Galapon. Extracting new representation of the hypergeometric function using finite part integration, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-PC-41 (2018). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2018-PC-41.
Section
Poster Session C (Mathematical Physics, Optics, and Interdisciplinary Topics)