New identities involving Kummer and Gauss hypergeometric functions arising from finite part integration

  • Christian Dacoycoy Tica National Institute of Physics, University of the Philippines Diliman
  • Eric Alvares Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

By performing finite part integration of the generalized Stieltjes integral representation of the Kummer and Gauss hypergeometric functions, we were able to obtain their exact representations from which we derive special cases that are not tabulated in the literature and are not reproducible by symbolic computation on leading computer algebra systems such as Mathematica and Maple.

Published
2018-05-24
How to Cite
[1]
C. Tica and E. Galapon. New identities involving Kummer and Gauss hypergeometric functions arising from finite part integration, Proceedings of the Samahang Pisika ng Pilipinas 36, SPP-2018-1D-06 (2018). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2018-1D-06.
Section
Theoretical and Mathematical Physics