Finite-part integration of the Stieltjes transform of a class of hypergeometric functions

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

Abstract

Finite-part integration is a method of evaluating convergent integrals using the finite parts of divergents  recently introduced in Proc. Roy. Soc. A 473, 20160567 (2017). Here we demonstrate finite part integration by evaluating explicitly the Stieltjes transform of a class of hypergeometric function. 

Published
2017-06-07
How to Cite
[1]
C. Tica and E. Galapon. Finite-part integration of the Stieltjes transform of a class of hypergeometric functions, Proceedings of the Samahang Pisika ng Pilipinas 35, SPP-2017-1F-04 (2017). URL: https://paperview.spp-online.org/proceedings/article/view/224.
Section
Theoretical and Mathematical Physics