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.
Chesneau, C. and Navarro, F. (2019). On some applicable approximations of Gaussian type integrals. Journal of Mathematical Modeling, 7(2), 221-229. doi: 10.22124/jmm.2019.12897.1250
MLA
Chesneau, C. , and Navarro, F. . "On some applicable approximations of Gaussian type integrals", Journal of Mathematical Modeling, 7, 2, 2019, 221-229. doi: 10.22124/jmm.2019.12897.1250
HARVARD
Chesneau, C., Navarro, F. (2019). 'On some applicable approximations of Gaussian type integrals', Journal of Mathematical Modeling, 7(2), pp. 221-229. doi: 10.22124/jmm.2019.12897.1250
CHICAGO
C. Chesneau and F. Navarro, "On some applicable approximations of Gaussian type integrals," Journal of Mathematical Modeling, 7 2 (2019): 221-229, doi: 10.22124/jmm.2019.12897.1250
VANCOUVER
Chesneau, C., Navarro, F. On some applicable approximations of Gaussian type integrals. Journal of Mathematical Modeling, 2019; 7(2): 221-229. doi: 10.22124/jmm.2019.12897.1250