Vol. 25 (2014)
Articles

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

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

Published 2014-08-01

Keywords

  • principal value integrals,
  • Poisson’s integral formula

How to Cite

Poisson’s formula with principal value integrals and some special Gradshteyn and Ryzhik integrals. (2014). Scientia Series A: Mathematical Sciences, 25, 27-35. https://revistas.usm.cl/scientia/article/view/217

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. 

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