On some applicable approximations of Gaussian type integrals

Document Type: Research Paper


1 LMNO, University of Caen, Caen, France

2 CREST, ENSAI, Rennes, France


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.