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

Authors

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.

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Published

2019-05-22

How to Cite

[1]

DA Monge, AC Zeta, CD Tica, and EA 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://proceedings.spp-online.org/article/view/SPP-2019-PB-09.