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

Authors

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

Proceedings SPP 2017 Cover

Downloads

Published

2017-06-07

Issue

2017: Proceedings of the 35th Samahang Pisika ng Pilipinas Physics Conference

Section

Theoretical and Mathematical Physics

License

Copyright License Agreement for Full Articles

How to Cite

[1]
“Finite-part integration of the Stieltjes transform of a class of hypergeometric functions”, Proc. SPP, vol. 35, no. 1, pp. SPP–2017, Jun. 2017, Accessed: Apr. 30, 2026. [Online]. Available: https://proceedings.spp-online.org/article/view/224