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
Keywords: Finite-part integration, Stieltjes Transform, Hypergeometric function

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
Section
Theoretical and Mathematical Physics