Poisson’s formula with principal value integrals and some special Gradshteyn and Ryzhik integrals

Khristo N. Boyadzhiev

doi:10.71712/

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

principal value integrals, Poisson’s integral formula

Khristo N. Boyadzhiev

Department of Mathematics and Statistics, Ohio Northern University, Ada, OH 45810, U.S.A

Abstract

Poisson’s integral formula for holomorphic functions on the right half plane can be used to quickly evaluate certain integrals from Gradshteyn and Ryzhik’s table. In addition we prove a version of Poisson’s formula for principal value integrals and use it in several interesting cases.

Issue

Vol. 25 (2014)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Khristo N. Boyadzhiev. (2025). Poisson’s formula with principal value integrals and some special Gradshteyn and Ryzhik integrals. Scientia Series A: Mathematical Sciences, 25, 27-35. https://doi.org/10.71712/