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

Authors

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

2019: Proceedings of the 37th Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2019-PB-09

Section

Poster Session PB

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.