On some applicable approximations of Gaussian type integrals

Document Type: Research Paper

Authors

1 LMNO, University of Caen, Caen, France

2 CREST, ENSAI, Rennes, France

10.22124/jmm.2019.12897.1250

Abstract

In this paper, we introduce new applicable approximations for Gaussian type integrals. A key ingredient is the approximation of the function $e^{-x^2}$ by the sum of three simple polynomial-exponential functions. Five special Gaussian type integrals are then considered as applications. Approximation of the so-called Voigt error function is investigated.

Keywords