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

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

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Published

2017-06-07

Issue

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

Section

Theoretical and Mathematical Physics

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How to Cite

[1]
Finite-part integration of the Stieltjes transform of a class of hypergeometric functions, Proceedings of the Samahang Pisika ng Pilipinas 35, (2017). URL: https://proceedings.spp-online.org/article/view/224.