On some applicable approximations of Gaussian type integrals

Christophe Chesneau (1) , Fabien Navarro (2)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme
2 CREST - Centre de Recherche en Economie et Statistique [Bruz]

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.

Mots clés: Exponential approximation; Gauss integral type function; Voigt error function

Domaines: Mathématiques générales [math.GM]

Christophe Chesneau, Fabien Navarro. On some applicable approximations of Gaussian type integrals. Journal of Mathematical Modeling, 2019, 7 (2). ⟨hal-01888264⟩