# Finite part integration of the Stieltjes transform for entire functions: Pole singularity

### Abstract

Using finite part integration of the Stieltjes integral, we were able to obtain explicit and novel representations of Stieltjes transform of several entire functions that are otherwise non-trivial to compute and are not amenable to symbolic computation in leading computer algebra systems. The relevant finite part integrals used in the calculations are exclusively those for which the singularities are poles at the origin.

Published

2019-05-21

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: Pole singularity,

*Proceedings of the Samahang Pisika ng Pilipinas***37**, SPP-2019-PB-04 (2019). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2019-PB-04.
Section

Poster Session PB