Finite part integration of the Stieltjes transform for entire functions: Branch-point singularity

  • Daniel Anthony Monge National Institute of Physics, University of the Philippines Diliman
  • Allan Christopher Zeta National Institute of Physics, University of the Philippines Diliman
  • Christian Dacoycoy Tica National Institute of Physics, University of the Philippines Diliman
  • Eric Alvarez Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

Explicit representations of Stieltjes transform of several functions, particularly with a branch point at the origin, are obtained using the method of finite part integration on the Stieltjes integral. It is noted that the transforms of these functions are non-trivial to compute otherwise and are not amenable to symbolic computation in currently leading computer algebra systems.

Published
2019-05-22
How to Cite
[1]
D. A. Monge, A. C. Zeta, C. Tica, and E. Galapon. Finite part integration of the Stieltjes transform for entire functions: Branch-point singularity, Proceedings of the Samahang Pisika ng Pilipinas 37, SPP-2019-PB-09 (2019). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2019-PB-09.